{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "#%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "import numpy as np \n",
    "import pandas as pd \n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# 颜色\n",
    "color = sns.color_palette()\n",
    "# 数据print精度\n",
    "pd.set_option('precision',3) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 介绍\n",
    "这个notebook分析了红酒的通用数据集`data/winequality-red.csv`。这个数据集有1599个样本，11个红酒的理化性质，以及红酒的品质（评分从0到10）。这里主要目的在于展示进行数据分析的常见 python 包的调用，以及数据可视化。主要内容分为：单变量，双变量，和多变量分析。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`data/winequality.names.txt`补充了数据集的一些信息，主要内容有：\n",
    "- 类别不均匀\n",
    "- 离群点检测算法可以用来检测少数优质的或劣质的葡萄酒\n",
    "- 有几种特征是相关的，建议进行特征选择"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据集基本信息\n",
    "\n",
    "\n",
    "| No   | 属性                             | 数据类型 | 字段描述               |\n",
    "| :--- | :------------------------------- | :------- | :--------------------- |\n",
    "| 1    | fixed acidity                    | Numeric  | 非挥发性酸             |\n",
    "| 2    | volatile acidity                 | Numeric  | 挥发性酸               |\n",
    "| 3    | citric acid                      | Numeric  | 柠檬酸                 |\n",
    "| 4    | residual sugar                   | Numeric  | 残糖                   |\n",
    "| 5    | chlorides                        | Numeric  | 氯化物                 |\n",
    "| 6    | free sulfur dioxide              | Numeric  | 游离二氧化硫           |\n",
    "| 7    | total sulfur dioxide             | Numeric  | 总二氧化硫             |\n",
    "| 8    | density                          | Numeric  | 密度                   |\n",
    "| 9    | pH                               | Numeric  | 酸碱度                 |\n",
    "| 10   | sulphates                        | Numeric  | 硫酸盐                 |\n",
    "| 11   | alcohol                          | Numeric  | 酒精                   |\n",
    "| 12   | quality (score between 0 and 10) | Numeric  | 葡萄酒质量（1-10之间） |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 研究方向\n",
    "可以从以下几个方面来探索葡萄酒质量数据：\n",
    "- 葡萄酒质量的分布情况如何？\n",
    "- 如何根据现有数据预测新的葡萄酒的质量？\n",
    "- 是否所有理化特征都与葡萄酒的质量相关？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.998</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.6</td>\n",
       "      <td>0.098</td>\n",
       "      <td>25.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>0.997</td>\n",
       "      <td>3.20</td>\n",
       "      <td>0.68</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.04</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.092</td>\n",
       "      <td>15.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0.997</td>\n",
       "      <td>3.26</td>\n",
       "      <td>0.65</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.2</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.075</td>\n",
       "      <td>17.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>0.998</td>\n",
       "      <td>3.16</td>\n",
       "      <td>0.58</td>\n",
       "      <td>9.8</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.998</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
       "0            7.4              0.70         0.00             1.9      0.076   \n",
       "1            7.8              0.88         0.00             2.6      0.098   \n",
       "2            7.8              0.76         0.04             2.3      0.092   \n",
       "3           11.2              0.28         0.56             1.9      0.075   \n",
       "4            7.4              0.70         0.00             1.9      0.076   \n",
       "\n",
       "   free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
       "0                 11.0                  34.0    0.998  3.51       0.56   \n",
       "1                 25.0                  67.0    0.997  3.20       0.68   \n",
       "2                 15.0                  54.0    0.997  3.26       0.65   \n",
       "3                 17.0                  60.0    0.998  3.16       0.58   \n",
       "4                 11.0                  34.0    0.998  3.51       0.56   \n",
       "\n",
       "   alcohol  quality  \n",
       "0      9.4        5  \n",
       "1      9.8        5  \n",
       "2      9.8        5  \n",
       "3      9.8        6  \n",
       "4      9.4        5  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('data/winequality-red.csv', sep=';')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "查看数据集基本信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 1599 entries, 0 to 1598\n",
      "Data columns (total 12 columns):\n",
      " #   Column                Non-Null Count  Dtype  \n",
      "---  ------                --------------  -----  \n",
      " 0   fixed acidity         1599 non-null   float64\n",
      " 1   volatile acidity      1599 non-null   float64\n",
      " 2   citric acid           1599 non-null   float64\n",
      " 3   residual sugar        1599 non-null   float64\n",
      " 4   chlorides             1599 non-null   float64\n",
      " 5   free sulfur dioxide   1599 non-null   float64\n",
      " 6   total sulfur dioxide  1599 non-null   float64\n",
      " 7   density               1599 non-null   float64\n",
      " 8   pH                    1599 non-null   float64\n",
      " 9   sulphates             1599 non-null   float64\n",
      " 10  alcohol               1599 non-null   float64\n",
      " 11  quality               1599 non-null   int64  \n",
      "dtypes: float64(11), int64(1)\n",
      "memory usage: 150.0 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从上面分析可看出\n",
    "- 红酒数据集的前11列是特征/属性（有11个），标签是红酒的品质 quality（离散值，位于0-10）。\n",
    "- 特征无缺失值，且数据类型均为float64"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 单变量分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "查看整体的统计信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "      <td>1599.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>8.320</td>\n",
       "      <td>0.528</td>\n",
       "      <td>0.271</td>\n",
       "      <td>2.539</td>\n",
       "      <td>0.087</td>\n",
       "      <td>15.875</td>\n",
       "      <td>46.468</td>\n",
       "      <td>0.997</td>\n",
       "      <td>3.311</td>\n",
       "      <td>0.658</td>\n",
       "      <td>10.423</td>\n",
       "      <td>5.636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1.741</td>\n",
       "      <td>0.179</td>\n",
       "      <td>0.195</td>\n",
       "      <td>1.410</td>\n",
       "      <td>0.047</td>\n",
       "      <td>10.460</td>\n",
       "      <td>32.895</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.154</td>\n",
       "      <td>0.170</td>\n",
       "      <td>1.066</td>\n",
       "      <td>0.808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>4.600</td>\n",
       "      <td>0.120</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.900</td>\n",
       "      <td>0.012</td>\n",
       "      <td>1.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>0.990</td>\n",
       "      <td>2.740</td>\n",
       "      <td>0.330</td>\n",
       "      <td>8.400</td>\n",
       "      <td>3.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>7.100</td>\n",
       "      <td>0.390</td>\n",
       "      <td>0.090</td>\n",
       "      <td>1.900</td>\n",
       "      <td>0.070</td>\n",
       "      <td>7.000</td>\n",
       "      <td>22.000</td>\n",
       "      <td>0.996</td>\n",
       "      <td>3.210</td>\n",
       "      <td>0.550</td>\n",
       "      <td>9.500</td>\n",
       "      <td>5.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>7.900</td>\n",
       "      <td>0.520</td>\n",
       "      <td>0.260</td>\n",
       "      <td>2.200</td>\n",
       "      <td>0.079</td>\n",
       "      <td>14.000</td>\n",
       "      <td>38.000</td>\n",
       "      <td>0.997</td>\n",
       "      <td>3.310</td>\n",
       "      <td>0.620</td>\n",
       "      <td>10.200</td>\n",
       "      <td>6.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>9.200</td>\n",
       "      <td>0.640</td>\n",
       "      <td>0.420</td>\n",
       "      <td>2.600</td>\n",
       "      <td>0.090</td>\n",
       "      <td>21.000</td>\n",
       "      <td>62.000</td>\n",
       "      <td>0.998</td>\n",
       "      <td>3.400</td>\n",
       "      <td>0.730</td>\n",
       "      <td>11.100</td>\n",
       "      <td>6.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>15.900</td>\n",
       "      <td>1.580</td>\n",
       "      <td>1.000</td>\n",
       "      <td>15.500</td>\n",
       "      <td>0.611</td>\n",
       "      <td>72.000</td>\n",
       "      <td>289.000</td>\n",
       "      <td>1.004</td>\n",
       "      <td>4.010</td>\n",
       "      <td>2.000</td>\n",
       "      <td>14.900</td>\n",
       "      <td>8.000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       fixed acidity  volatile acidity  citric acid  residual sugar  \\\n",
       "count       1599.000          1599.000     1599.000        1599.000   \n",
       "mean           8.320             0.528        0.271           2.539   \n",
       "std            1.741             0.179        0.195           1.410   \n",
       "min            4.600             0.120        0.000           0.900   \n",
       "25%            7.100             0.390        0.090           1.900   \n",
       "50%            7.900             0.520        0.260           2.200   \n",
       "75%            9.200             0.640        0.420           2.600   \n",
       "max           15.900             1.580        1.000          15.500   \n",
       "\n",
       "       chlorides  free sulfur dioxide  total sulfur dioxide   density  \\\n",
       "count   1599.000             1599.000              1599.000  1599.000   \n",
       "mean       0.087               15.875                46.468     0.997   \n",
       "std        0.047               10.460                32.895     0.002   \n",
       "min        0.012                1.000                 6.000     0.990   \n",
       "25%        0.070                7.000                22.000     0.996   \n",
       "50%        0.079               14.000                38.000     0.997   \n",
       "75%        0.090               21.000                62.000     0.998   \n",
       "max        0.611               72.000               289.000     1.004   \n",
       "\n",
       "             pH  sulphates   alcohol   quality  \n",
       "count  1599.000   1599.000  1599.000  1599.000  \n",
       "mean      3.311      0.658    10.423     5.636  \n",
       "std       0.154      0.170     1.066     0.808  \n",
       "min       2.740      0.330     8.400     3.000  \n",
       "25%       3.210      0.550     9.500     5.000  \n",
       "50%       3.310      0.620    10.200     6.000  \n",
       "75%       3.400      0.730    11.100     6.000  \n",
       "max       4.010      2.000    14.900     8.000  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义画布的风格 \n",
    "# plt.style.available  # 另一种自带风格\n",
    "plt.style.use('ggplot')  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们可以**绘制各单边量的箱线图，查看它们的分布情况**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Figure 1: Univariate Boxplots\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colnm = df.columns.tolist() # 获取各变量的名称\n",
    "fig = plt.figure(figsize = (10, 6))  # 设置画布大小\n",
    "\n",
    "# 绘制各变量的箱线图\n",
    "for i in range(12):\n",
    "    plt.subplot(2, 6, i+1)  # 准备2*6的子画布 刚好绘制12个单变量的箱型图\n",
    "    sns.boxplot(df[colnm[i]], orient=\"v\", width = 0.5, color = color[0])  # 绘制各单变量（Dataframe各列）的箱型图\n",
    "    plt.ylabel(colnm[i],fontsize = 12)\n",
    "#plt.subplots_adjust(left=0.2, wspace=0.8, top=0.9)\n",
    "\n",
    "plt.tight_layout()\n",
    "print('\\nFigure 1: Univariate Boxplots')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**绘制各变量的分布直方图**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Figure 2: Univariate Histograms\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colnm = df.columns.tolist()\n",
    "plt.figure(figsize = (10, 8))\n",
    "\n",
    "for i in range(12):\n",
    "    plt.subplot(4,3,i+1)\n",
    "    df[colnm[i]].hist(bins = 100, color = color[0])\n",
    "    plt.xlabel(colnm[i],fontsize = 12)\n",
    "    plt.ylabel('Frequency')\n",
    "plt.tight_layout()\n",
    "print('\\nFigure 2: Univariate Histograms')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 红酒品质"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8248905565978737"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"quality\"].value_counts()[[5,6]].sum()/1599  # 品质为5或6的红酒数占比"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据直方图和计算可知：\n",
    "- 数据集的目的是研究红酒品质和理化性质之间的关系，品质的评价范围是0-10\n",
    "- 该数据集中红酒的品质的范围是3-8，且主要集中在5-6（占比约为82.5%）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 酸度\n",
    "数据集有7个酸度相关的特征：\n",
    "1. fixed acidity\n",
    "2. volatile acidity\n",
    "3. citric acid\n",
    "4. free sulfur dioxide\n",
    "5. total sulfur dioxide\n",
    "6. sulphates\n",
    "7. pH"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**分析**：\n",
    "- 根据化学酸碱度知识可知，前六个特征与 pH 有关，前三个特征是酸，直接产生 H 离子，4-6个特征是二氧化硫和盐，间接产生 H 离子。\n",
    "- **pH值主要是与fixed acidity有关**（这个结论实际上我不知道怎么验证，感觉涉及化学专业内容，因此这里直接借鉴了过来）\n",
    "\n",
    "由于 pH 是氢离子浓度的以10为底的对数值，因此为探究前六个特征与 pH 之间的关系，我们绘制前六个特征的以10为底的对数（对特征取对数）的直方图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Figure 3: Acidity Features in log10 Scale\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acidityFeat = ['fixed acidity', 'volatile acidity', 'citric acid',  # 酸性相关的六个特征\n",
    "               'free sulfur dioxide', 'total sulfur dioxide', 'sulphates']\n",
    "\n",
    "plt.figure(figsize = (10, 4))\n",
    "\n",
    "for i in range(6):\n",
    "    ax = plt.subplot(2,3,i+1)\n",
    "    v = np.log10(np.clip(df[acidityFeat[i]].values, a_min = 0.001, a_max = None))  # 取对数后绘制直方图\n",
    "    plt.hist(v, bins = 50, color = color[0])\n",
    "    plt.xlabel('log( + acidityFeat[i] + )',fontsize = 12)\n",
    "    plt.ylabel('Frequency')\n",
    "             \n",
    "plt.tight_layout()\n",
    "print('\\nFigure 3: Acidity Features in log10 Scale')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**绘制关于 fixed acidity、volatile acidity、citric acid 的对数坐标直方图，比较它们的数量级**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 4\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,3))\n",
    "\n",
    "bins = 10**(np.linspace(-2, 2))  # x轴\n",
    "plt.hist(df['fixed acidity'], bins = bins, edgecolor = 'k', label = 'Fixed Acidity')\n",
    "plt.hist(df['volatile acidity'], bins = bins, edgecolor = 'k', label = 'Volatile Acidity')\n",
    "plt.hist(df['citric acid'], bins = bins, edgecolor = 'k', alpha = 1, label = 'Citric Acid')\n",
    "plt.xscale('log')  # 设置对数尺度的x轴\n",
    "plt.xlabel('Acid Concentration (g/dm^3)')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Histogram of Acid Concentration')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "print('Figure 4')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：**Fixed Acidity 是 Volatile Acidity 和 Citric Acid 数量级的1~2倍**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将 Fixed Acidity、Volatile Acidity 和 Citric Acid 加起来，定义一个名为总酸度（total acid）的特征："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算总酸度\n",
    "df['total acid'] = df['fixed acidity'] + df['volatile acidity'] + df['citric acid']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**绘制总酸度的直方图**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 5: Total Acid Histogram\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,3))\n",
    "\n",
    "# 总酸度的直方图\n",
    "plt.subplot(121)  \n",
    "plt.hist(df['total acid'], bins = 50, color = color[0])\n",
    "plt.xlabel('total acid')\n",
    "plt.ylabel('Frequency')\n",
    "\n",
    "# 总酸度取对数后的直方图\n",
    "plt.subplot(122)  \n",
    "plt.hist(np.log(df['total acid']), bins = 50 , color = color[0])\n",
    "plt.xlabel('log(total acid)')\n",
    "plt.ylabel('Frequency')\n",
    "plt.tight_layout()\n",
    "\n",
    "print(\"Figure 5: Total Acid Histogram\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 甜度\n",
    "知识：红酒的甜度与特征 residual sugar 有关，干红（<=4 g/L), 半干（4-12 g/L）,半甜（12-45 g/L），和甜（>45 g/L)。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**下面先将不同 residual sugar 的样本映射到相应甜度（使用到了 Pandas 中 category 数据类型的知识，要补充下了），然后绘制直方图，查看分布**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dry           1474\n",
       "medium dry     117\n",
       "semi-sweet       8\n",
       "sweet            0\n",
       "Name: sweetness, dtype: int64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['sweetness'] = pd.cut(df['residual sugar'], bins = [0, 4, 12, 45, np.inf], labels=[\"dry\", \"medium dry\", \"semi-sweet\", \"sweet\"])  \n",
    "df['sweetness'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 6: Sweetness\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (5,3))\n",
    "\n",
    "# plt.bar(df['sweetness'].value_counts(), color = color[0])\n",
    "df['sweetness'].value_counts().plot(kind='bar', color = color[0])\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('sweetness', fontsize = 12)\n",
    "plt.ylabel('Frequency', fontsize = 12)\n",
    "plt.tight_layout()\n",
    "print(\"Figure 6: Sweetness\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：从图像可以得知，**该数据集的红酒的甜度基本都是干红型。**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 双变量分析\n",
    "在研究之前先来看看已有的变量有哪些："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Index(['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar',\n",
       "        'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density',\n",
       "        'pH', 'sulphates', 'alcohol', 'quality', 'total acid', 'sweetness'],\n",
       "       dtype='object'),\n",
       " 14)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns, len(df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到 quality 在 total acid 的前面，为了之后分析方便，我们先交换这两列（交换Dataframe的两列，这里采用的reindex函数，还有其他的方案）："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_columns = ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar',\n",
    "               'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density',\n",
    "               'pH', 'sulphates', 'alcohol', 'total acid', 'quality', 'sweetness']\n",
    "df = df.reindex(new_columns, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar',\n",
       "       'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density',\n",
       "       'pH', 'sulphates', 'alcohol', 'total acid', 'quality', 'sweetness'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 红酒品质和理化特征的关系"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**绘制不同品质红酒各理化特征的箱形图**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Figure 7: Physicochemical Properties and Wine Quality by Boxplot\n"
     ]
    },
    {
     "data": {
      "image/png": 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0g0KLxqanpyMvL49ddikrKwvv379XSmCaql+/fvjtt98AFPXG0ba1RAi///471q5di9OnTyMhIQETJ07Ejh07YG9vL3ZoKkvsEx+pVMquB5uSkoL09HTeE2EhV64h1RMSEoK7d+8iPDwcubm52LNnD548eYIZM2aIHVq10LruRJXpKPLkr7/+GqNGjcK2bduwdetWjBo1CqNGjVJWbBrp4sWL7GVpiUSCCxcuiBwR0QYbNmxgJ7J+9tln2LNnD01sVXGRkZHsGH6ZTIbIyEje6wwLC8OjR48QFhbGe12keqKiorBv3z4AgIWFBSIiIvCvf/1L5KgUk56eTks0EpWgUE/wnDlzYGtri1u3bgEAFi1aRJf3qxAdHc2u0MAwjEaOCSaqp6CgAB06dGDLHTp0QH5+fo1eIywsDElJSVi1alWZ+/7++2/88MMPePDgAVq2bImgoCC0a9dO4bi1mdBbnkulUvZYfvPmTUF6nknVCgoKOEOX9PX1K52YrmpoXXeiymrVE/z8+XMAwMOHD2FhYYHhw4dj+PDh+OSTT/Dw4UOlBqhpunfvzinTAvhECEZGRoiOjmbLt27dgrGxcbWeW1BQgG3btlW6NumyZctgZ2eH33//HSNGjMDixYsVjlnbFc+1qKisbKV7f6k3WDV06dIFvr6+uHXrFm7fvo3Fixejc+fOYodFiEaoVU9wUFAQfvzxx3LXrJRIJIiKilI4ML6IPeNbCOWNwSpp2bJlav8eSc0sWbIEM2fOhJ6eHiQSCSQSCbZv316t5wYGBuLly5cYPXp0mSX3gKJl2G7evImQkBAYGBhg/Pjx+PHHH/H8+XO0adOmVvGGhYUhMTGx0sf89ddfAP7Xq1SeVq1aYfLkybWKQWw5OTmVlpWtuBe42M2bN3mtj1TPsmXLsHXrVgQGBkJPTw/Ozs7w8fEROyxCNEKtkuAff/wRAHD58mV2HdK8vDx8/PgRjRo1UmqAfBN6xrfQC+AXrxFbsky0T+fOnXH16lU8efIEurq6sLKy4myjXJnp06fD3Nwc27dvx9u3b8vc/+LFCzRq1IizJbelpWW5SXBmZiYyMzM5t6WmppZ5zcTERDx//ADNjCre4bBuoS4AIDfxXbn3v8qpU/GbIkRNGBsb05UVQnii0Jjgf/3rX9iyZQsuXLiAlJQUfPPNN1i7dq1Kb8cq9oxvIRbAL/kepVIppkyZwt63detWGuenhfLz83Ht2jVkZWUBAOLi4vDixQvMmzevyueam5tXen92djYMDQ05txkaGpbbc3ngwAHs2LGjWjE3M8rDrM9eVeux5dn+tFmtnyuGqq7gAHQVRxvFxsZiz549yM7OBsMwkMvlePnyZZkx44SQmlMoCd69eze7O5yVlRWOHz+OGTNmqHQSLDZPT09cuXKFTYL5XgDfzMyM7Q12cHCgBFhLzZs3D8nJyXj79i0+//xz3L9/H46Ojkp5bUNDwzKT7HJzc8sdc+zt7Y3hw4dzbktNTcW4ceOUEosmMTAw4Pxdq9tzr05oSbaqLV26FEOHDsVvv/2GMWPGICoqipbWJERJFEqC5XI5LCws2PKnn35a7phB8j9mZmZwd3fHhQsX0Lt3b0EO/E2bNsXLly8xffp03usiqunx48e4cOECVqxYgUmTJkEul2PFihVKee2WLVvi3bt3yMnJYdcMf/HiBVq1alXmsaamprSrZAVKX6VKSEjAggUL2PL69evL/Zsqi66uLmdbdV1dXd7qKhYZGYnHjx/zvn28OpNIJPjuu++Qnp6O1q1bY/DgwRgxYoTYYRGiERSabmxmZobDhw+jsLAQMpkMx44dwyeffKKs2DSWp6cnbGxsBNsGVV9fH1ZWVtTTosUaN24MPT09tGrVCk+ePMFnn32GDx8+KOW169Wrh+7duyM0NBT5+fkIDw9HgwYN0LZtW6W8vrZq3bo12/vbtGlTXhNgAOjZsyen7Orqymt9UqkUV65cAcMwuHz5Mq0bW4HisfaWlpZ4+vQpDA0NeV8phBBtoVBP8KpVqzB//nysWrUKEokEHTp0qHQZJVLEzMwMa9asETsMokWMjY1x5swZtG/fHkePHkXr1q2RnZ2t0Gva29tj7969cHBwwLp167B48WI4OTnBysoKW7ZsUau1TFVV8+bNkZiYyOkRVqaS45ALCgo497169YrXMciRkZHslUO5XC5Yb7C6DcHo1KkT5s6dizlz5uD7779HYmIi9PSq/uqOiYlBQEAAXr16BRcXFwQFBZWZGB0REYH169ez6xAbGxvjxo0bvLwPIWnDKlBEORRKglu1aoXjx4/j/fv30NXVpZUHykFbRhJVsHz5chw9ehR+fn44duwYxo8fX61JcSWVXsUkNjaW/b1x48a0riwPjIyMYGNjw3svMFB0xah4SET9+vU5GzTwITo6GoWFhQCAwsJCwTYOUrchGP7+/rh//z6srKzg7++PmzdvYtOmTZU+JycnB7Nnz0ZgYCC6d+8Of39/hIaGYuHChZzHxcfHY/HixRo/Jl/oVaBIzVW1LGZ1lsQEar4spkJJsFQqxenTp5GVlcXOWk1KSqqygRYrvQPVhQsXsH79eqSnp+PLL7/EqlWreD8Qi4EaJBFaq1at8MMPPwAAtmzZIm4wKkqsg7CYSo9DXrRoEV6+fInNmzfz3kvq6uqK3377jS0Lsdto6SEYnp6eKt8bLJFIYGdnBwDo1asXevXqVeVzbt++jWbNmrF/Ux8fH3h5eZWbBA8dOlTZIYtO7FWgSM1VtSxmVUtiArVbFlOhJHju3LkwNDTEs2fP4OLigps3b6Jr165VPq+goAC7du3Crl272HGxqampWLp0Kfbt24eWLVtixowZOHr0qNqfodKWkepJGxMiVZKRkYG0nDoKLXP2KqcOGv3/VZfqEOsgrEqEnD/w+eefc5Lgktt680WsIRhCS0pK4lw9sLS0RFpaGjIyMtjOF4Zh8PTpU+zZswezZs1C8+bNsXTp0nJ3o6vu+t6EKEKMZTEVSoJTUlJw6dIlrFixAmPGjMGsWbMwY8aMKp9X3g5Uly5dgouLC2xtbQEA3333HbZt26b2STBRnBi7h1FCpJ20bW1iMRVvulRs165d6NGjB691ijUEQ2hZWVnsSi0AoKenB319feTm5rK3ZWRkwNbWFhMmTICjoyPOnj2LadOm4bfffiuzgktN1vcmmkFbOoIUSoKLV4IonnE+ZMgQ9gBTmfJ2oEpMTOScubZs2RLPnz8v9/l0VqpdxNo9jBIi8TRo0ACGGU8V/vsb0pAjlVV6YqaiEzWrw9XVFVFRUSgsLISenp4gQzCU4b///S+6deuGjIwMxMTEoG/fvpU+3sjICHl5/zteFhYWoqCggJMYN2zYEOHh4WzZw8MD+/fvx4MHD/DFF19wXo/W99Y+2tIRpFAS3KhRI/zjH/+AnZ0dtm/fjrp163LONCtS3g5U2dnZnNvr1KlT4WvV5KxUW85mNB0lpIqRy+XYt28fnj59imXLluHgwYOYMmWKIGvBEqIqijcrAgAdHR3BlqlUREhICO7evYvw8HDk5uZiz549ePLkSaVXXa2srHDhwgW2nJSUhIYNG6J+/frsbQkJCbh06RKnJzw/P7/cTVlofW/tpA3fuwovkXbu3Dk4ODjA1tYW27Ztq/VSPqXPXPPy8jhnrSXV5KxUW85mCKlMUFAQpFIp/vjjDwDA9evX8fbtWyxdulTkyIi26tq1K+7cucOWHRwceK9TjM2KFBUVFYUTJ04AACwsLBAREQEPD49Kk2AnJyf4+/sjKioKPXr0wM6dOzFw4EDOY0xNTbF79260bdsWbm5uOHLkCAoLC9lJeIRoA4V7gidMmAAA8PPzg5+fX61fy8rKirPkUunhESXV9KxUG85mCKnMrVu3cOLECXh4eKBu3brYt2+fRs4KJ+pj+vTpmDJlCqcsBE9PTyQnJ6tFLzBQNJG85CpJ+vr6Va7BbWRkhNDQUAQEBMDPzw8uLi7w9fVFSkoKBg0ahHPnzqFp06YICQlBUFAQ5s+fj3bt2mHnzp0auT03IRVRKAlWpj59+mD79u24d+8e2rRpg71795Y5cyWqgYaYqB89PT3OLlMGBgbVWnCfEGUqvW56nTp1kJeXBxMTE2zevJm9nc9109Vts6IuXbrA19cXI0eOhEQiwcmTJ8tdwaG85505c4ZzW926dTmdTW5ubmozLlqbiTE5XGhirAgEqFAS/Omnn2Lt2rXw8/NDeno6Bg4ciIkTJ4odFikHDTFRP+3atcPBgwchk8mQkJCAn376Ce3btxc7LKLldHR0oKOjg2bN6GpbRZYtW4atW7ciMDAQenp6cHZ2ho+Pj9hhEQGJNTlcG4iaBJfegapv375VznolqoGGmKiXJUuWYN26dUhLS8PYsWPxxRdf0HhgIjjaxKDmjI2NsXjxYrHDICIT+jtX6J5ZsVYEqlUSXNXKDHSWSohqqVu3LtatWyd2GISQapozZw62bt2KwYMHl3t/6aEOhJCaq1USXLztb0JCAv766y/07dsXenp6iIqKgrW1tVIDJJWjsULVU5uxQppg2rRpld6/e/dugSJRfUJ/zrSh7ZLamzp1KgBg4cKFNFmNCE5b1mqvVRJcfECeMGECjh8/DjMzMwBFs3urs2McUR4aK0QqM2DAALFDqLVXVSSkHwqKPtf19GUVPr8NL5EpB7VdUpni3VM3btyIU6dOiRwNKYkmh2sOhcYEv337lk2AgaKly9LS0hQOitSMpo/P1ZYzUj7069cPdevWRYaa9YJXtDxiSa///4vGvJVVufe3qebrFBPjc6bpbZcozsjICKmpqbCwsBA7FPL/aHK45lAoCba2tsbixYsxdOhQMAyDY8eOVWvpFk1GlziJKhk/fjxOnDgBJycnztqiDMNAIpHg8ePHIkZXsep89mlSFamO0suyFZ8QNihxssLnkmyKysnJQZ8+fWBhYQFjY2P2dhoTLC46gdUMCiXBa9aswbZt27B27VoARfuyl17xQdvQJU7NoCnjkIt3mnr06BFnnWAAatc7TBSjrBN0QL1P0ovntDRQkytDS5YsETuEGqGOIKJOFEqC69ati/nz5yMxMRHt2rVDXl4eDA0NlRWb2qIzRKJqRowYwSbExby8vHD27FmRIiJCn2gp4wS9uE51ou7Lsp08ebLMyi6zZ8+Go6OjSBFVjjqCiDpRKAm+d+8efHx8oKenh8OHD2Po0KHYtWsXunTpoqz4CBGFpoxD9vb2xh9//IHc3FxOu5TL5ejYsWO1XiMmJgYBAQF49eoVXFxcEBQUhLp163IeExERgfXr17PbuxobG+PGjRvKeyNEKRQ9QQfoJF0oAQEB+Pvvv3Hnzh1IpVL29sLCQiQnJ4sYWdWoI0gzVDY5uaqJycXPr8nkZKHrAxRMgoOCgvDTTz9hwYIFsLCwQFBQENauXYtffvlFkZclNSDGZXtNGSqgDUJDQ5GRkQF/f38EBgayt+vp6cHc3LzK5+fk5GD27NkIDAxE9+7d4e/vj9DQUCxcuJDzuPj4eCxevBjjxo1T+nsQkpAHYU050SL8GDlyJJ4+fYr4+HjOKi+6urqws7MTLzCiFaqaVFzVxGSgZpOTha6vmEJJcG5uLtq2bcuW3dzcEBISoshLEkKUqG7duqhbty7++c9/cm5nGAZJSUlVHjBu376NZs2awc3NDUDRRjheXl7lJsFDhw5VauxCE+sgTEh5OnbsiI4dO6JHjx5o0qSJ2OGoLBqDzI+q/hbKHlYkdH3FFEqC9fT08P79e3bWeUJCglKCUiahey21YatB6sFSP4cPH0ZQUBBycnLY28zMzKocslA6Uba0tERaWhoyMjLYiUUMw+Dp06fYs2cPZs2ahebNm2Pp0qXlrhSTmZmJzMxMzm2pqam1f2NKJNZBmJDyFO8YN2XKlHLvp9UhimjDGGS6+sofhZLgadOmwcvLC+/evcP8+fNx48YNrFq1SlmxEcLS9I0T+LZnzx7s378fu3btwty5c3HlypVqJZ9ZWVkwMjJiy3p6etDX10dubi57W0ZGBmxtbTFhwgQ4Ojri7NmzmDZtGn777TeYmppyXu/AgQNVbrtO+KGML1JAubviacNqFLVVvGNcVX8bQmOQSe0plAT37t0bbdq0wY0bNyCXyzFz5ky0aaNaqYbQvZbUS6p8YmycAIgzSJ8vDRo0QOfOnWFjY4O0tDRMnz4dX331VZXPMzIyQl7e/3pYCgsLUVBQwEmMGzZsiPDwcLbs4eGB/fv348GDB/jiiy84r+ft7Y3hw4dzbktNTVX7scS1peknd0JvKqBJl8aLd4yztLTE7t27sWLFCiQkJCA4OBgrV64UNTZtpw1XfLWFQknwqVOnMHToULRs2RIAIJPJEBwcjAULFiglOGXRpGSmPJr+RSrGxgmaNj60eOhSy5Yt8eDBA/To0QMyWcWf+WJWVla4cOECW05KSkLDhg1Rv3599raEhARcunQJ3333HXtbfn4+DAwMyryeqalpmd7h6iq96UF5yYwqb3pQmtAnd8r4IgVUe1c8Tbw0vmjRIvTu3RsA0KxZMzg6OsLf3x979+4VOTJC1J9CSfCPP/6Iu3fvYsmSJXjz5g3mzZvH2UZZFWhaMlMa9ZLyQ9PGh44aNQrff/89du/ejWHDhuHixYto3bp1lc9zcnKCv78/oqKi0KNHD+zcuRMDBw7kPMbU1BS7d+9G27Zt4ebmhiNHjqCwsJD3GewNGzbk9fX5Rrvi8UPTLo2np6djwoQJAIA6depg4sSJOHnypLhBaTnqmdUcCiXBx44dw9q1azFixAhkZmbCx8cHnp6eyopNKcRIZoTsmaVeUlIdI0eOxFdffQVjY2McOXIEf/zxB3r27Fnl84yMjBAaGoqAgAD4+fnBxcUFvr6+SElJwaBBg3Du3Dk0bdoUISEhCAoKwvz589GuXTvs3Lmz3J5gRZTe9IAQbSCTyfD333+zK0S8e/cODMOIHBUhmkGhJFgikcDAwAA5OTmQy+XsKhGqjO9LqmL1zApJ03pJNdn+/fsrvO/QoUOYNGlSla/RpUuXMjPR69ati9jYWLbs5ubGLqNGCFGeiRMnYtiwYejZsyckEglu3ryJH374QeywCNEICiXBQ4YMgZ2dHU6dOoV3797B19cXly5dwu7du5UVH++UfUmVLnESVfLkyROxQyAqRNGrVMWvUd0rVZq+RKUQRo4cCVtbW9y+fRu6urqYPHky2rVrJ3ZYhGgEhZLgmTNnYtiwYQAAExMTHD58GJs3b1ZGXLyhS6pEm5TcJQ4AXr16hcLCQnYyK9EeyrhKBaj+lSpN1L59e7Rv317sMAjROLVKgp8/f442bdrgs88+w8OHDzn3DRo0SCmBEUKUJykpCTNmzMCbN28gl8vRsGFD/Pjjjyq3pCHhjxhXqcRYojLt9YtKH1Od3u4GNGGJEK1QqyQ4KCgIP/74I2bNmlXmPolEgqioKIUDI4Qoz6pVqzBlyhR2jd5ffvkFK1euLLOdMiHqTBvmZBBClKdWSbCNjQ2AomTYwcFBqQERQpQvLS2Ns0nFiBEj8NNPP4kXENEaQi6nSHMyCCE1Uask+OzZsxg7dixWrVqF8PDwMsu10KUkQlSLTCZDRkYG2zalUqm4ARGtQMspEkJUWa2S4B49eqBXr15gGAbdu3fn3CeRSPD48WOlBEcIUQ4vLy+MHj0aAwcOhEQiwb/+9S94e3uLHRbRcKqwnKKm7TRICFGeWiXBK1euxMqVKzFu3DgcPHhQ2TERQpRs9OjRaNmyJa5fvw65XI6AgAC4uLiIHRYhglP3nQYJl1jL4gm9a6qQm3BpE4WWSOMjAd6wYQMiIiKgp1cUWps2bXDs2DGl10OINpk/fz5GjRoFPz8/sUNRG9SDqBloWUyibEIP86EJn/xRKAnmQ3x8PHbs2EG7TxGiRA4ODti8eTPS09MxcuRIeHh4wNzcXOyw1Ar1IBKieoRehg8QfpiPKk74zMjIwKtXr3Djxg306NFDkDr5oJJJMO2GQ4hyffPNN/jmm2/w/Plz/PLLLxgzZgzat2+P0NBQsUNTWUL3IJbueQao95nUXkxMDAICAvDq1Su4uLggKCgIdevW5Tzm2bNnWLRoEZ49ewZbW1sEBwfDwsJCpIiJOnn1quikIyQkhJJgZZFKpUhPT8eKFStw//59WFtbY8WKFbCy4nbvZ2ZmIjMzk3NbamqqkKGqNLqMq3ya8jfNzc1Ffn4+GIaBrq6u2OGQKvDd+6wpn2vClZOTg9mzZyMwMBDdu3eHv78/QkNDsXDhQvYxDMNg7ty58PLygoeHB0JCQrBu3Tps27ZNobrFGKNL42X5V/JYkVHifyOXyzFr1iw0aNBAqceK6hybAMWPTyqXBDs6OsLHxwfW1tbYu3cvZsyYgbNnz3K+sA8cOIAdO3aIGKl60bTLuKrQY6Zuf9P9+/fj+PHjyM/Px8iRI3H06FF88sknYodFSlCFsavq9rkm5bt9+zaaNWvGDiv08fGBl5cXJwl++vQp0tPTMWbMGADArFmz4OTkhI8fP5bpMVZlNF5WeMW9wCXLfC+Ny9exSaWS4LZt23IW8J8xYwb27duHFy9ecHqDvb29OQv/A0U9wePGjRMqVJUm9mVcvs7YKsP3l7cqJCiKiIuLw9KlS8ssaUi0m7p/rkn5kpKSOEmdpaUl0tLSOGuFJyUloWXLluxjjI2N0bBhQyQlJaFDhw61rlvoratVcbysJip5rPDw8Chzv7L/tkIdm1QqCb537x7+/PNP9sxULpdDJpPBwMCA8zhTU1OYmpqKEWKNqUKvpdAoIVU9mzZtEjsEQlTihFkbZGVlwcjIiC3r6elBX18fubm5FT4GAAwNDZGTk1Pm9WoyBLF0j2pGRgbS09M5t+UWFsXxUc+Qva1hw4Zs4qtoz6zQw3yE/lxrY17BF5VKgg0NDREUFITPP/8cNjY22LZtG2xsbNCsWe3HFqkiTbvkSEkpIaQ2NO1YqCqMjIyQl5fHlgsLC1FQUMBJeks/BiiaM2BsbFzm9WoyBLF0z2x5CVvxmNKSvb3qfKVQ7PrEqlMTqFQS3L59eyxfvhzz5s2DVCpFly5dsHnzZrHDUggliIQQUoSOh8KwsrLChQsX2HJSUhIaNmyI+vXrcx6TlJTElrOzs5GWlgZLS8syr6fIEEQx/udC16np9WkyHbEDKG3YsGGIiopCbGwswsLC8Omnn4odEiGEEKI2nJyckJSUhKioKOTm5mLnzp0YOHAg5zHt2rVDvXr1cPDgQeTn52PHjh1wcXEpd1KcqakpmjdvzvmhpdS0V+nP0uDBg0WKRHEq1ROsCJmsaIA9LZVGVFnx57P480qo7RL1oE5t18jICKGhoQgICICfnx9cXFzg6+uLlJQUDBo0COfOnUPTpk2xfft2+Pv7Izg4GB07dsTGjRurXQe1W+01cOBAnDp1ii3369cPL1++FDGiylXWdiUMwzBCB8SHmJgYWh2CqI2DBw/CwcFB7DBUArVdok6o7RahdkvUTXltV2OS4NzcXMTFxcHc3LxGmwAUj2s6ePCgYJd3hK5T0+sTo87a1ieTyfD27VvY2trC0NCw6idoAXVpu/S5Vv/6FKmT2i5XbdstoPmfM3X6XGtDfZW1XY0ZDmFoaKjQ2bmFhQWaN2+uxIhUr05Nr0+MOmtTX8m1OYn6tV36XKt/fbWtk9ru/yjabgHN/5ypy+daG+qrqO2q3MQ4QgghhBBC+EZJMCGEEEII0TqUBBNCCCGEEK2j9UmwqakpfHx8BN2GWeg6Nb0+MeoU4z0SLm34n2v6e9SGvykpS9M/Z9rwudaU+jRmdQhCCCGEEEKqS+t7ggkhhBBCiPbR6iT4wIEDcHV1RZcuXTB9+nSkpaUJUu/t27fRuXNnQerasGEDOnbsCHt7e9jb22PkyJG81pecnIxJkyahW7duGDZsGOLi4nit7/Tp0+x7s7e3h52dHaytrXH37l3e6rx16xa++uordO3aFePHj0diYiJvdZHyUdtVPmq7RAia3naFbreAsG1XjHYL8Nh2GS0VExPDuLq6MsnJyUx+fj6zaNEixt/fn/d6s7Ozmf79+zO2tra818UwDDNp0iTm6tWrgtRVWFjI9O/fn9m/fz8jk8mYo0ePMv379xek7mIhISHM9OnTeXv9wsJCxtHRkfnPf/7DyGQyZtOmTcykSZN4q4+URW1X+ajtEiFoQ9sVst0yjPhtl+92yzD8tl2N2Syjprp27Ypff/0VxsbGyMzMRFZWFiwtLXmvd/PmzejZsyeOHDnCe10AEB8fj3bt2glS1927d2FgYICJEycCAEaMGAEbGxswDAOJRMJ7/c+ePcPPP/+Ms2fP8lbH+/fvkZGRAblcDoZhoKOjgzp16vBWHymL2q7yUdslQtCGtitkuwXEbbtCtFuA37ar1cMhjI2NcebMGTg6OuL+/fvw8vLitb7Y2Fg8ePAA3t7evNZTTCqVIj09HStWrICTkxO8vb3x119/8Vbfn3/+iVatWmHx4sXo3r07vLy8YGRkJMiXKACEhIRg0qRJMDc3560OMzMzeHh4YMKECejYsSOOHj0Kf39/3uoj5aO2q1zUdolQNLntCt1uAXHbrhDtFuC37Wp1EgwAAwYMwP3799G/f3/MmTOHt3ry8/MREBCAVatWCfbFIpVK4ejoCB8fH0RHR8PR0REzZsyATCbjpb4PHz4gKioKzs7OuH79Onr37g0fHx/e6ivpxYsX+P333zFu3Dhe65HJZGjQoAHCw8MRGxsLDw8PLFiwgNc6Sfmo7SoPtV0iJE1tu0K3W0C8titUuwV4brtKGVShAT5+/MhYW1szUqmUl9cPDg5mQkJCGIZhmOTkZMHGFZYkl8uZLl26MAkJCby8/p49e5jBgweXqe+vv/7ipb6SQkNDmUWLFvFez7lz5xgfHx+2XFhYyNjZ2fH2NyVVo7arOGq7RAya3nb5brcMI17bFardMgy/bVdre4JPnTqF5cuXs+XCwkLo6OjAxMSEl/ouXryI8PBwODg4YMiQIcjPz4eDgwNSUlJ4qQ8A7t27h8OHD7NluVwOmUwGAwMDXupr1aoVPn78yJYZhmHH8PAtOjoa/fr1472e1NRUFBQUsGUdHR1IJBLo6Wnt8HrBUdtVPmq7RAia3naFbreAeG1XqHYL8Nt2tTYJ7tixI86dO4d79+4hLy8PGzduxIABA3j7sJ4/fx537txBTEwMTp8+DQMDA8TExKBp06a81AcAhoaGCAoKwoMHD1BQUIAtW7bAxsYGzZo146U+FxcXZGdnIzw8HDKZDGFhYWjevDmsrKx4qa+YXC7H48eP0alTJ17rAQAnJyfcunUL//73v1FYWIjdu3ejZcuWaN68Oe91kyLUdpWP2i4Rgqa3XaHbLSBO2xWy3QI8t12F+5LV2K+//sr07duXcXR0ZHx9fZn3798LUq+Ql2VOnDjB9O7dm7Gzs2O+/fZbJiUlhdf6Hj9+zIwePZqxt7dnPD09mWfPnvFaH8MwzLt37xhra2tGLpfzXhfDMMyZM2eY/v37M127dmUmTZrEJCcnC1Iv+R9qu8pHbZcIQdPbrtDtlmGEb7tCt1uG4a/t0rbJhBBCCCFE62jtcAhCCCGEEKK9KAkmhBBCCCFah5JgQgghhBCidSgJJoQQQgghWoeSYEIIIYQQonUoCSaEEEIIIVqHkmCiMJlMhtevX4sdBiGkhqjtEqKeqO0qByXBpNqsra3x+PFjAIC9vT3i4+MBAPPnz8dvv/0mZmiEkEpQ2yVEPVHb5Rdtmk5qJTY2lv1dKpWKGAkhpCao7RKinqjtKh8lwRrq1q1bWLduHZKTk9GzZ0/I5XJ069YNUVFR6NOnDyZOnAgAOH78OA4cOIBTp06BYRiEhobi3LlzSE1NRb169fDtt9+yjy3J2toaJ0+exPHjxxETE4PY2Fi8ePECiYmJ6NSpE+bOnQsAyM3NhbOzMw4fPgxra2vh/gCEqClqu4SoJ2q76oeGQ2igtLQ0zJw5ExMnTsR///tfODs7IyoqqsrnnT17FqdOncJPP/2Eu3fvIiAgAEFBQXjz5k2Fz1myZAkcHBywYMECLF++HEOGDMGvv/7K3n/58mVYWlpSQySkGqjtEqKeqO2qJ0qCNdCVK1fQrFkzjBgxAvr6+vjmm2+q1Rjc3d1x8OBBNGnSBO/evYO+vj5kMlmNLrv0798fb968QVxcHICiBj5kyJBavxdCtAm1XULUE7Vd9UTDITSQVCpFkyZNOLe1bNmyyucVFhYiMDAQN2/eROPGjdGpUycAAMMw1a7b2NgYffr0wblz52BpaYkbN24gICCgZm+AEC1FbZcQ9URtVz1REqyBmjdvjpMnT3JuK760oqOjg4KCAvb2jIwM9vfNmzcjLy8P165dg6GhId6/f49jx47VuP4hQ4Zg5cqVsLa2RpcuXcocGAgh5aO2S4h6orarnmg4hAZyc3PDhw8fEBERgcLCQpw/f56dVdqqVStcunQJmZmZSElJwfHjx9nnffjwAXXq1IGuri7ev3+PdevWAQCn8ZbHwMAAHz9+ZMs9evRAXl4e9u/fj6FDh/LwDgnRTNR2CVFP1HbVEyXBGsjExAT/+Mc/cO7cOTg7O+P06dP4/PPPAQAzZsxA3bp10atXL0ybNo0zbmjOnDl4/fo1HB0dMXjwYDRs2BDW1tZ48uRJpfUNHjwY+/btg6+vLwBAV1cXgwYNQlJSEvr168ffGyVEw1DbJUQ9UdtVTxKmJgNPiNoaP348Z4kWvv3000+Ii4tDcHCwIPURoqmo7RKinqjtqj7qCSZKJZVK8ccffyA8PByenp5ih0MIqSZqu4SoJ2q7tUdJMFGqmJgYeHl5wd3dHd27dxc7HEJINVHbJUQ9UdutPRoOQQghhBBCtA71BBNCCCGEEK1DSTAhhBBCCNE6lAQTQgghhBCtQ0kwIYQQQgjROpQEE0IIIYQQrUNJMCGEEEII0TqUBBNCCCGEEK1DSTAhhBBCCNE6lAQTQgghhBCtQ0kwIYQQQgjROpQEE0IIIYQQrUNJMCGEEEII0TqUBBNCCCFq4sGDBzh8+DDy8/MRGxsrdjiEqDUJwzCM2EEoQ25uLuLi4mBubg5dXV2xwyGkXDKZDG/fvoWtrS0MDQ3FDkclUNsl6kAV2u7x48cRFhaGvLw8HDlyBF9//TXmzZuHUaNGCR4LtVuiLipru3oixaR0cXFxGDdunNhhEFItBw8ehIODg9hhqARqu0SdiNl2w8PDceTIEXh5eaFRo0Y4fvw4pkyZIkoSTO2WqJvy2q7GJMHm5uYAit6khYWFyNGolkOHDuH69etwdXXF2LFjea8vOTkZmzdvhq+vL5o3b857feokNTUV48aNYz+vRH3artDtSKw6SflUoe3q6Oigbt26bPnTTz8VrRdWXdqttqBjRcUqa7sakwQXHwgsLCwo8SpBKpXi7t270NfXx507dzBlyhQ0bNiQ1zo3btwImUyGn3/+GVu3buW1LnVFlw//Rx3arhjtSIw6SdXEbLsNGjTA48ePIZFIAACnT59G/fr1RYlFHdqttqBjRfWU13ZFnRgXFhaG5cuXs+XZs2ejU6dOsLe3h729PWbPni1idJohMjIScrkcACCXyxEZGclrfQkJCUhOTgZQ1COcmJjIa32ECEHodiRWnUS1+fv7w8/PD8+fP8cXX3yBrVu3YunSpWKHRURGx4raEyUJLigowLZt2xAcHMy5PT4+HsePH0dsbCxiY2Oxbds2McLTKNHR0SgsLAQAFBYW4tq1a7zWV7rnNyQkhNf6CBGC0O1IrDqJamvTpg1OnTqFEydOYN++fTh//jysra3FDouIjI4VtSdKEhwYGIi4uDiMHj2avS0nJwepqalo1aqVGCFpLFdXV+jpFY160dPTg5ubG6/1FfcCV1QmRB0J3Y7EqpOoppMnT7I/Z86cwR9//IFHjx7h3LlzOHnypNjhkVISEhLg5eUl2JVQOlbUnihJ8PTp07Fnzx40atSIve3p06cwNDTExIkT4ezsjJkzZ+Lt27flPj8zMxMvX77k/KSmpgoVvlrx9PSEjk7Rv1lHRweenp681teiRYtKy4SoI6HbkVh1EtV0/vx5nD9/HuHh4Vi5ciV+++03REVFYd26dThx4oTY4ZFStm7diuzsbMGuhNKxovYUSoIvXbpUq+eVN0MvOzsbdnZ2WL16NS5fvoxGjRph4cKF5T7/wIED6NOnD+eHlmopn5mZGdzd3SGRSNC7d2/eB8vPmTOHU543bx6v9REiBKHbkVh1EtW0e/du7N69G40aNcKpU6ewa9cubN++HSdPnmR7AIlqEGNeDB0rak+h1hMSEoK+ffsqJRAnJyc4OTmx5fnz58PZ2Rm5ubllFjf29vbG8OHDObcVL4FByvL09ERycrIgZ4etW7dGixYtkJycjBYtWtDwFqIxhGxHYtZJVNfr169haWnJlps2bUpXQVVMefNihFgliY4VtaNQEtyuXTvs2rULDg4OMDY2Zm/v0KFDjV/r2rVryMrKwldffQUAyM/Ph66ubrlnuaampjA1Na194FomIyMDiYmJeP/+vSBniJMmTcKaNWswefJk3usiRChmZmZYs2aNxtdJVJe5uTm2bdvGdgIdOXKEhpypGLHmxdCxonYUSoLv37+P+/fvc5bjkEgkiIqKqvFryeVyrFu3Dh06dEDjxo0RHByMgQMH0qUeJSg5PkmIM9Lff/8dDMPg9u3b6NSpE+/1EUKINli/fj1WrlyJoUOHQiKRwNXVFevWrRM7LFKCiYkJsrKyOGWiuhTKMC9fvqysOODu7g5vb2+MHz8eHz58gKurK53VKEF545P4HKIglUpx5coVMAyDy5cvw9PTk8YnEUKIEjRu3BihoaFih0EqUbxUWUVloloUSoKlUilOnz6NrKwsMAwDuVyOpKQkbNq0qVrPnzVrFqc8depUTJ06VZGQSClCj0+KjIyETCYDAMhkMkRGRuK7777jrT5CCNF0c+bMwdatWzF48OBy7z9z5ozAEZGK9OrVC7/99htbdnd3FzEaUhWFkuC5c+fC0NAQz549g4uLC27evImuXbsqKzaiBEKPT4qOjuYkwdeuXaMkmBBCFFDcObRs2TKRIyFV8fT0RFRUFAoLC6Gvr08T1VScQkukpaSkYM+ePXB1dYWXlxd+/vlnJCQkKCs2jSWVSrF06VKkp6fzXpfQ6/Z2796dUy654gchhJCas7W1BVC0OoSjoyP707VrV0RHR4scHSnJzMwMffr0gUQiQZ8+fWg4oIpTKAn+5JNPAACtWrXCkydP0KRJExr/Ug2RkZF4/PixIPt707q9pDpiYmIwaNAg2NnZYcaMGfj48WOZx0RERMDW1hb29vawt7dHjx492PsuXLiA3r17w97eHosXL0ZBQYGQ4ROiFX788UcEBAQgPz8fL1++xJgxY/D06VOxwyKleHp6wsbGhnqB1YBCSXCjRo3wj3/8A7a2tvjll19w+fJl5ObmKis2jVR64hjfvcHF6/YCEGTd3t9//51Tvn37Nq/1EcXl5ORg9uzZ+OGHH3D79m0YGhqWO/kmPj4eixcvRmxsLGJjY3Hjxg0ARWt0L126FNu2bUN0dDRevnyJo0ePCv02CNF4x44dQ2FhIUaMGIFx48Zh1KhR+PHHH8UOi5RSvFwZ9QKrPoWS4FWrVsHAwAAODg6wtbXFtm3bsGDBAmXFppEiIyMhl8sBFC0LJ1RvsLGxsSC9wK6urtDV1QUA6Orq0h7mauD27dto1qwZ3NzcYGhoCB8fH5w6darM4+Lj42FtbV3m9kuXLsHFxQW2traoV68evvvuO5w8eVKAyAnRLhKJBAYGBsjJyYFcLodEIhE7JFIOIYc8EsUo3BM8YcIEAICfnx9OnjyJfv36KSUwTRUdHc0OGSksLMS1a9d4r7N169aIiIgQZPc2T09PThJMl4NUX1JSEuezYWlpibS0NGRkZLC3MQyDp0+fYs+ePXB2doanpyfu378PAGWW3WvZsiWeP39ebl2ZmZl4+fIl54d2vCKkeoYMGYKPHz/i1KlTiIiIwOHDhzFt2jSxwyKlCDnkkShGoSS4Q4cOsLGx4fzY29tj9OjRFX4JajtXV1d2AxA9PT2N6ymlPczVT1ZWFoyMjNiynp4e9PX1OUObMjIyYGtriwkTJuDatWsYO3Yspk2bhszMTGRnZ3OeX6dOnQqHRR04cAB9+vTh/NB25xWjHiVS0syZM7Fx40aYmJigZcuWOHz4MFq3bi12WKQEoYc8FktISICXlxcSExMFqU9TKJQET5gwATNnzsTt27fxn//8B35+fhg0aBCmTJmCFStWKClEzeLp6QkdnaI/u46Ojkb2lNKkAPViZGSEvLw8tlxYWIiCggJOYtuwYUOEh4fjiy++gIGBATw8PPDJJ5/gwYMHZZ6fl5fHeW5J3t7eiIqK4vwcPHiQvzen5iIiIvDo0SNERESIHQpRAcOGDcP9+/exY8cOhISEIDY2Fj/88IPYYZESxBjyCHB3hhWCppygK5QE//777/Dx8UH9+vVRr149fPvtt/jzzz/Rr18/ZGZmKitGjaINPaU0KUC9WFlZISkpiS0nJSWhYcOGqF+/PntbQkIC9uzZw3lefn4+DAwMyjy/sl0JTU1N0bx5c86PhYWFct+QhpBKpezyV9euXVP7LxuiuJMnT2L27Nl4//49srKyMH/+fJqEqmLEGPJY3s6wfNOUE3SFkuCcnBy8efOGLb9584btESreMIGURT2lhE/Fy5s9evQIJ0+erHK5MicnJyQlJSEqKgq5ubnYuXMnBg4cyHmMqakpdu/ejcuXL0Mmk+HQoUMoLCyEnZ0d+vTpg3//+9+4d+8ePnz4gL1795Z5Pqm5iIgITo+Sun/ZEMX99NNPiIyMxJIlS7B06VIcO3YM//znP8UOi5QgxpDH8naG5ZMmnaArlARPnToVw4cPx8KFC+Hn5wcPDw9MmzYNO3bsQJcuXZQVo8ahnlLCl61btyIgIAApKSmYMmUKjh8/XuXQJCMjI4SGhmLLli1wcXFBXl4efH19kZKSAnt7e6SkpOCTTz5BSEgINm3ahK5du+LkyZPYuXMnDAwM8Omnn2Lt2rXw8/ODu7s7WrVqhYkTJwryfjXZ9evXOWXaFIHI5XI0btyYLTdp0oQdXkdUQ+nOLSE6u4TeGVaTTtAV2jbZw8MDnTt3xvXr16Gnp4eZM2eiVatWePnyJV3iJEQE165dw8GDB3HkyBEMGjQIS5YswYgRI6p8XpcuXXDmzBnObXXr1kVsbCxbdnNzq7BXo2/fvujbt69iwRNCKtWgQQNcunSJbWuXLl3iDFsi4jMzM4Ouri4KCwuhq6srSGdXixYtOIkv3zvDlneCPmvWLF7r5ItCp5APHz5Ebm4uunXrBnt7e2RlZeHhw4do3rw5ezmAaB+apSouIyMj3Lx5k92yOj8/X+SISG307NmTU3Z1dRUpEqIqli1bhg0bNrAnpOvXr8eSJUuq9dwNGzagY8eO7I6PI0eOBAAcOnQIX3zxBbp164ZNmzbxGb5WSEhIYIeF5uXlCfI9OGnSJE558uTJvNepKRTKVEtm/gUFBXj79i1sbW1x7NgxhQMj6mvTpk3Izs5GcHAwduzYIXY4WqVhw4ZYsWIF4uLisHXrVgQHB3MunxL14eXlhatXr3LKfLt37x7WrFmD5cuXo1OnTrzXR2rms88+w/nz55GYmAiZTIbWrVtXu8MpPj4eO3bs4FzNefDgAXbt2oVDhw6hTp06mDRpErp27YpevXrx9A403/r16znlwMBA3nf1Kz1U6tq1a7y23549e3KOTep8gq5QEnz58mVO+ffffy9zSZVol4SEBLx+/RoAkJKSUulKAUT5NmzYgKNHj+LHH3+EkZERJBIJNmzYIHZYRE1s2rQJcrkcGzduRHh4uNjhkP+3d+9eTJ06FatXry53l7ilS5dW+Rrx8fFo164d57Zff/0VQ4YMgaWlJYCiZU9PnjxJSbAC3r17xym/ffuW9zrLS4L5HJ7g5eWF6OhoyOVy6OjoCHKCzheljqjv3r07Hj58qMyXJGqm9OW04OBgkSLRTp988gk8PDwglUohk8kwduxYfPLJJ2KHRWph165dlZaV7d69e8jKygJQtIHKgwcPeK2PVF+9evUAFF3padCgQZmfqkilUqSnp2PFihVwcnKCt7c3/vrrr2rv9kg7Paq24klqFZWVzczMjO39dXNzU+tJ/gr1BJdMeBmGQVxcXIU7RRHtUNwLXCwlJUWkSLTT1atXsWLFCujo6ODw4cMYNGgQNm7cSJPW1NCdO3c45ZiYGF7rK30CS73BqmPMmDEAAB8fn1o9XyqVwtHRET4+PrC2tsbevXsxY8YMfPLJJ9Xa7fHAgQM0tE2F6ejocBJfIVYM8fLywps3b9S6FxhQ4phgiUQCMzOzGu0UFxYWhqSkJKxatQoAcOHCBaxfvx7p6en48ssvsWrVKujr6ysSIiFaJTQ0FEePHsV3332Hxo0b49ChQ1i4cCElwaRKxb3AFZWJeHr37l3uMAig6Lv30qVLlT6/bdu2+Omnn9jyjBkzsG/fPjRr1qxauz16e3tj+PDhnNtSU1Npy/NyiJGQNmnShNMBJcTqXBkZGUhMTMT79++1tye49Jjg6iooKMCuXbuwa9cudg291NRULF26FPv27UPLli0xY8YMHD16lBqZmnF2dsatW7fYsouLi4jRaB+ZTMaZCGdjY1PhlychJZmYmHASXxMTExGjISVt27YNQNFKDvr6+hg9ejR0dXVx/PjxKjfDAYqGuvz5559sj7JcLodMJoO5uTlevHjBPq6iORympqYwNTVVzpvRcEIPTQBQZrMKqVTKe50lt2kuvVmHOlHoFOX58+eIjIwEwzCYN28e+vbti9u3b1f5vMDAQMTFxWH06NHsbZcuXYKLiwtsbW1Rr149fPfddzh58qQi4RERlF6ahZZqEZaRkRFSUlLYxDcmJgZ16tQROSqiDnx9fTllPz8/kSIhpdna2sLW1hZPnz7FypUr8fnnn8Pa2hqLFy+u1thtQ0NDBAUF4cGDBygoKMCWLVtgY2ODMWPG4Pjx4/jrr7/w5s0bhIeH026PasjNzY095kskEt4nNoqxTTNfFEqCAwICUKdOHVy9ehWpqalYu3Zttbbrmz59Ovbs2YNGjRqxt1V3gD5Ag/RVmZmZGZydnQEU9QKr82USdeTr64tvv/0WL168wOjRozFz5kwsWLBA7LBILZTuieW7Z9bOzo6tw8TEhJZIU0GZmZmcXr6///6b3Sa9Mu3bt8fy5csxb948ODo64tGjR9i8eTM6d+6MGTNmYNKkSRg8eDD69+9PSbAa8vT0hK6uLgBAV1eX913qhN6mmU8KDYfIy8vDkCFDsHr1agwcOBDdu3ev1qUZc3PzMrdlZ2dzbq9ogD5Ag/RV3eTJk/H+/XvqBRZBly5dcPToUcTGxkIul6Nz584wMzMTOyxSC6U3ORFi0xNfX1+sWbNGsF5gqVSKzZs3w9fXl06Yq8Hb2xuDBw/GF198AYZhcOPGjWr/r4YNG4Zhw4aVuX3s2LEYO3askiPVXrq6upDJZJwy38zMzNC4cWOkpKSgcePGvLclobdpBvg7VijUE5yfn493797h6tWrcHFxwbt37ziD7GvCyMioWgP0gaIDQVRUFOfn4MGDtaqXEE3w3//+l/2Jj4+HsbEx6tati+fPn+O///2v2OGRWig9KViIScJ2dnY4duyYYL3AkZGRePz4MSIjIwWpT9198803CAsLQ/v27WFjY4P9+/eXm9gSLqlUiqVLl5YZO8sHMXZ6lEql7EpMKSkpvL/P0tsy871NM8DfsUKhnuDRo0fD3d0dAwcORNu2bdGrVy/MmDGjVq9lZWWF2NhYtlzZJgs0SF+1lfywfvfdd4LUqe09SsUrrOTk5CAlJQWfffYZdHV18eTJE7Rp0wanTp0SOUJSU9nZ2ZWW+ZCQkIDly5djzZo1vG9yI5VKceXKFTAMg8uXL8PT01Mr225NtW/fHu3btxc7DLXC93fSlStX2IUCSl8Nf/XqFZYtWwagaJUPd3d3pdcfERFRpsznZhlz5szhDLObN28eb3UB/B4rFOoJ/uabb3D//n0EBQUBAE6cOIFRo0bV6rX69OmDf//737h37x4+fPiAvXv30tgkNSSVShEVFQWGYXDp0iVBzrwB6lE6c+YMzpw5A1tbW0RERODUqVM4fvw4jhw5wu4GRUhVSm55zrfIyEh25rxcLtfatkv4VTqB4vs7SV9fnx0CUb9+fUGu4Fy7do1TLrmlMR9at27N9v62aNGC9xNmPo8VCvUEA9w18BTJzD/99FOsXbsWfn5+SE9Px8CBAzFx4kRFwyMCi4yMRGFhIQCgsLBQkN5g6lH6n7/++gtdunRhyx06dEBSUpKIEZHa6tq1K2fDDAcHB17rE3rL8+joaM6x4tq1a4JdOSLao7wEStmfM3d3d04P76JFi/Dy5Uts3ryZl++ikj3PQNFmZSUxDINly5bx1vMMACNHjkRISEitOz5rgs9jBf+rOFdi1qxZ7GVcAOjbty8uXryImJgYrF69Gnp6CufoRGClz0CvXLnCe53lJd7aytDQEMePH4dMJkNhYSF+/vlnGjqkpoq3yq2orGxCb3nu6urKHuP19PTg5ubGa32a4IcffhA7BLVTXgLFN319fVhZWWl0Z0zxbpIHDhzgvS4+jxWiJsFEGAkJCfDy8hJkLb/SM2GFmBkbHR3NOdMX4iCnqtauXYvw8HB07NgRnTt3xokTJxAYGCh2WKQWfv/9d065OmuwK0LoLc89PT3ZK4k6Ojq8L+ukCR4/flym149UztXVlbN8mCacbLm7u2P16tXsT3lWr17NWy9wQkIC3r17BwB49+4d77kFn8eKWnW1Pnz4sNL7O3ToUKtgCD/Wr1+P7OxsBAYG4scff+S1LjEm89jZ2XF2qbO3t+e9TlXVtm1bnDhxAhkZGQCABg0aiBoPqT1XV1dcunQJMplMY768SzIzM4O7uzsuXLiA3r17a3SvmbI0btwYgwYNQufOnTnrRi9dulTEqFSbp6cnLl68CKBomIAmnmxNnToVe/fuZcvTpk3jtb7169dzyuvWrcOePXt4q4/PY0WtkuDKZh1KJBJERUXVOiCiXCXP2N6+fcv7OD8xlD4LVefda2pr7dq1WLJkSYUHv927dwscEVGUp6cnrly5wibBfH95i7HluaenJ5KTkzUyMeGDvb29Vp/kk/INHDiQkwT379+f1/qKc4qKynzg61hRqyS45IBsotpKn7Hx3RsskUg4l+uKt3Lkk9CXcVVR8S59AwYMEDkSoixC95ROnjyZkwQLsdmNmZkZ1qxZw3s9msLHx0fsEJRCyCUtIyMjOVsKC7l0p5AsLCyQmprKWy9w6cl4pfE9EY8vCs08k0qlOH36NLKyssAwDORyOZKSkspMsCDiKX2G9vbtW17rc3Nz40yO43sPc6BoiZaSO9YIsXC3qunduzcA4OTJk4JMVCDCELKntHjL81u3btGW5ypq8ODB5d5+5swZgSNRjJBryUdHR7M7uMlkMo1dhaRRo0Zo1KgR773AgDidXXx9ZhRKgufOnQtDQ0M8e/YMLi4uuHnzJrp27aqs2Iga8vLy4iTBXl5evNcp9MLdquzDhw/Izs6GsbGx2KEQNURbnqu24k0XgKJNGc6dO6d2J/1CL2mp6WPrhVJyGbh79+5xVvYKCAjgdZdJld0sIyUlBXv27IGrqyu8vLzw888/IyEhQSmBEfVkZmbG9v66u7sL0psk9MLdqszIyAju7u6YMGECpk2bxv5oIiG3QhVLREQEHj16VGZHKL4UD0+gXmDV5OjoyP706NEDa9eu5X1jBGUTepMUT09PttdSUyfGCc3Ozo7t/TUyMuJ9m3U+PzMKJcGffPIJAKBVq1Z48uQJmjRpwq7HR1SDgYFBpWU+eHl54fPPPxekF7jYnDlzYGxsrNW9wEDRAuaLFi3C8OHDMWDAAPZHE2n6LoFSqRTR0dEAinaE0uRkn9ROeno63rx5I3YYNSLGur1E+Yo7nhYuXMh7XXx+ZhRKghs1aoR//OMfsLW1xS+//ILLly8jNzdXWbERJcjPz6+0zAcxepMaNGiAVq1aoX79+oLVqYqGDx8OR0dHAEUHiy5dumD48OFVPi8mJgaDBg2CnZ0dZsyYgY8fP5Z5zN27d+Hh4cG+5t27d9n7Zs+ejU6dOrGz12fPnq28N1UOobdCFUNERASn90OI3mBt6F1XZ4MHD+b89OvXDwMHDhQ7rBoRepOU8ibGEcXVq1cPHTp04L0XGFDhzTJWrVoFAwMDODg4wNbWFtu2beOMzSREKGFhYXj06BHCwsLEDkVU169fx4gRI3Dp0iVERUVh5MiRuHTpUqXPycnJwezZs/HDDz/g9u3bMDQ0RGhoKOcxubm58PHxwffff4+YmBhMnToVM2fOZE964+Pjcfz4ccTGxiI2Nhbbtm3j7T0Cwl9SFcP169c55eJeYT5RO1JN9+/fB1A0Jrj4Z/ny5Th69Kja7SIn9CYp5U2MI+qFz8+Mwj3BEyZMAAD4+fnh5MmT6Nevn1IC02Sa3tsi9PuTSqXs0k43b94UpF5V/R9u3boVERERCA0Nxe7du3Ho0CHs2LGj0ufcvn0bzZo1g5ubGwwNDeHj44NTp05xHvPmzRt88cUXGDBgAHR0dPDVV19BLpcjOTkZOTk5SE1NFXQsNl1SVT4x2hGpnhUrVgAAQkND2THB3bp1Q5s2bcQNrBaKl/6TSCSCLP1H23OrPz4/MwolwaUvzRT/kMoJOZbRzMyMU27UqBHvdQo9mad0r5UQvViqOh61oKAAbdu2ZcufffYZ2wtSkaSkJE4Ca2lpibS0NHbXueLbgoKC2PKDBw+Ql5eHFi1a4OnTpzA0NMTEiRPh7OyMmTNnVrgUX2ZmJl6+fMn5SU1NrfH71IYvtp49e3LKrq6uvNYnRjsi1VNYWIhvv/0Wjx494kx4VdeJr56enrCxsRFkkhptz60Z+PrMKLREmiYs1yI0oZeHkUqllZb5qK/kZB4vLy/ez/RLLvAPFPVi8Uno/2FNGBoa4o8//kDHjh0BAH/88QeMjIwqfU5WVhbnMXp6etDX169wfP/r168xZ84cdonE7Oxs2NnZYdGiRbCwsEBgYCAWLlyIffv2lXnugQMHquyZro7i3dQAzf1ic3V15cz85zvRF7odAcJumqDO9u7di9u3b+Ovv/7SiImufG+SUnpjB319feTn58PExASbN28GALXc2EGblP4fFnfKFP//iin6f1QoCS6egFPMxcUFY8aMwfTp0xV5WUEJfRAubyyjkAt3l1zgmg/lTeapbJttdST2/7Ayfn5+mDZtGlq2bAkA+Ouvv7B169ZKn2NkZIS8vDy2XFhYiIKCgnKT5+fPn2Py5MkYOnQoJk6cCABwcnKCk5MT+5j58+fD2dkZubm5MDQ05Dzf29u7zES91NRUjBs3rkbvU+jd1MSwf/9+TjksLKzK/6W6EXLTBHVmYWGBYcOGoWnTpmW+d0nV5HI5dHR0YG5uLnYopJaKh2c1aNBAqa+rUBJcmjou1yL0Qbi8sYyadPAvbzIP30mwjo4Om5QWl/mkyv9DBwcHnDt3Dvfv34dcLoednV2VCaKVlRUuXLjAlpOSktCwYcMyK208fPgQkydPxvfff49Jkyaxt1+7dg1ZWVn46quvABStQKKrq8sOVyjJ1NQUpqamirxFlpC7qYmh5C6I5ZXVnSpfUVE1VQ0zVLcd4/hWcmMH4H9XrVevXi1WSKSGhPofKpQEl26YKSkpGD16tEIBCUmMg7CrqysuXLgAhmEgkUg0ciyj0EomwOWVlc3V1RVRUVEoLCxUmfGopXsNiyUmJgIAJ2ktzcnJCf7+/oiKikKPHj2wc+fOMssuZWZm4vvvv8esWbPK9NrK5XKsW7cOHTp0QOPGjREcHIyBAweWmwQrE9+XVMWm6duBq/IVFVVTcughIUR5lDYmWCKRwMzMTK1mq4pxEO7Xrx9+++03AEVDE4TY51tIHTp0wIMHD9iyra2tiNHww9PTkx2rJJFIVKIn8smTJ7V+rpGREUJDQxEQEAA/Pz+4uLjA19cXKSkpGDRoEM6dO4cbN27g7du3CA4ORnBwMPvcAwcOwN3dHd7e3hg/fjw+fPgAV1dXjU5OhTJy5EiEhISw5VGjRokYjfKp8hUVVVM8BKLkZFVCiOJqlQSnpKQAAJo3b17ufU2bNq11QBs2bEBERATbi9SmTRscO3as1q9XGTEOwhcvXoREImF7gi9cuKBRB/5nz55xyk+fPhUpEv6YmZnBwsICycnJsLCwUIlLuIGBgQo9v0uXLmUuqdatWxexsbEAihL/ypL9qVOnYurUqQrFQLhKH/eOHj2KHj16iBSN8qniFRVV5+TkxPn+AABzc3NB1pAmRBPVKgkeNGgQ2xBzc3NhYmICXV1dZGZmolGjRvj3v/9d64Di4+OxY8cOQQ6IYhyEo6OjOfuYa1rvR3Z2dqVlTSCVStllvVJTU5Genq4SiTAA3LlzBzt27EBaWhpnEqQmjBmsaLZwyYkSfM74FnoSraaPCdaGFT6U7c8//2R/z8/Px9mzZ/HXX3+JGJF2CgsLY4ealaf4f1LVMJZWrVph8uTJygyN1FCtkuDi3qHly5eje/fuGDRoEAAgKiqqyt2pqhIfH4927dop9BrVJcZBmHo/lK9OnTqc1Q3q1KnDa32RkZGcExlVGsu4bNkyjBo1CjY2NmxPkabia7ZwRYSeRGtsbMw5iTQ2Nua9TiFpwwoffDIwMICHhwc8PDzg6+srdjhaJTExEc8fP0Azo7xy769bqAsAyE18V+FrvMrh93uKVI9CY4Lj4uKwatUqttynTx+F1gCVSqVIT0/HihUrcP/+fVhbW2PFihWwsrLiPC4zMxOZmZmc22qz4L4YB2FPT09ERUVxykQxtra2uHPnDlvmey9zVR7LaGBgwC5dpmnEnPEtxiTanJycSsuaQNNX+FC2kmOCGYZBXFxcme9CIoxmRnmY9dmrWj9/+9Nm1X5sVT3PQPV6n6nnuSyFkmC5XI7ff/8d3bt3B1CUHCjS+ySVSuHo6AgfHx9YW1tj7969mDFjBs6ePQtdXV32ccpacB8Q/iBsZmbG6UWk3g/F/fHHH5zy/fv3ea1PlXvzW7duzdksgyiHGJNoS6/pzfca32LQ9BU+lK3kmGCgaAfQJUuWiBxV5UoPYwKEH8qk7qrqeQaq7n2mnufyKZQEL126FHPnzoW+vj77BaFIctq2bVv89NNPbHnGjBnYt28fXrx4wekNVtaC+4DwB+F79+6x29jKZDI8ePCA955LTVd6W+CqtglWlCqOZSxerjArKwtjx45FixYtOEuUacKYYDGpcu+/OqMd42qm5JhgdSb0UCZNIGTPszZRKAl2cHDAlStX2OWZrK2tFVob9N69e/jzzz8xZswYAEU9LjKZDAYGBpzHKXPBfaFt3LiRU96wYQMOHjwoUjSaQegkWBXHMhZfAnv9+jV2796NlStX4vnz5wgODuYMWSK1Q+t784N2jKuZd+/e4f79++jTpw+Cg4Pxxx9/YPHixWjfvr3YoVWo9DAmgDavUAfaMvmvVhnr3r17MXXqVKxevbrc4Q9Lly6tVTCGhoYICgrC559/DhsbG2zbtg02NjZo1kx5ZzBizzDXhnF+2kDVxjIWryM6ceJEjB07Fo6OjujcuTPy8vJw8uRJdvIqqR1NX99bDFKpFJcvXwbDMIiKiqId46ph0aJF+OKLL3Dr1i1ER0dj4sSJWLNmDSIiIsQOjWgYbZn8V6skuF69egCg9ANW+/btsXz5csybNw9SqRRdunTB5s2blVpHaXRZRv0ZGBggPz+fU+abqo5lTE9Px4QJEwAUrZIxceJEnDx5UtygakHVJoJcvHiRU9a09b3FEBkZyRliQr3BVcvIyMDEiROxYcMGfP311/Dw8KAriYQ3qjT5j6+e51olwcXDFXx8fNjb/v77byQnJ8PBwaE2L8kaNmwYhg0bptBrVEboGeale57r1q2Ljx8/csrLli2jSQEKKJkAl1fWJjKZDH///TeaNGkCoOjyqTpOqFK1iSClNyPQxDHBpqamnJUG6tevz2t9165d40wSvnr1qsb9TZWtoKAABQUFuH79OtavX4+cnByNXIudaB+xep4VGhP8888/IyYmBkuWLIGHhwfq1q2L/v3705qFlWjatClni1tFdtfTVuXNNi5NW08sJk6ciGHDhqFnz56QSCS4efMmfvjhB7HDqhVVmgjSvXt3XL16lS07OTkp7bVVRemltt6/f89rfebm5pwNQMzNzXmtTxP06dMHzs7OsLGxga2tLb7++mt8/fXXYofFIfRVHDGuGmVkZCAtp45Cx5hXOXXQiLbB5hDjmK9QEhwZGYk9e/bg/Pnz6N27NwICAjBq1ChKgksob1LAhAkT8PHjRzg4OMDf31/pdVaVJGpagqivr4+CggJOWdnEHkteXSNHjoStrS1u374NXV1dTJ48WbDNZ4hitOHkruR7fPnyJee+ly9fskmKOr9HPs2ePRujRo1ir/QEBwer3KQ4oa/iqNpVIz5Q0s0fhZJgiUSCTz75BLdu3cLAgQOhp6fHLpVGKta0aVO8fPkS06dPFzsUpahO0g0o74ut9IlFQkICFixYwJY3bNiAVq1aKVxPZVR5LHn79u1V7otRHZX8XD9+/Jhz37Vr1/DmzRu1T9bEPGFu0KAB246Ky6RqFhYW7O+q2s6F7tETur4GDRrAMOOpwnUa0mdedAolwQYGBti7dy/+85//YM2aNTh06BCMjIyUFZtSqOIyH/r6+rCysuJtJnTJJDEiIgLHjx9n7/P09MTYsWN5qVcsrVu3ZnuDLSwseEmAxdytjIivfv36nISNj/GypT9jU6dORVpaGlv+5JNP1P7zVvI9SqVSTJkyBUDRMTE4OJhWhyCkHJR080ehJHjt2rUICwvDhg0bUL9+fdy5c0flZsxryzIfFfHy8uIkwXwkwCW/2K5fv46QkBD2Pl9fX/To0UPpdZbWokULJCYmqu34V6J6SidsU6dOBcMwMDAwECRhW7x4MecKBx9Dp0q+x9mzZ3OGKLRq1YrXpNvMzAwNGzZEeno6+vTpQwkwqRUaKsAPbfm7KpQEt27dGsuWLUNSUhIYhsGaNWtUricYUK1lPgDh9/g2MzODVCoVZE3bnj17skmwjo6OUhLg6vxNU1NTYWhoiLCwsAofo+qLdpP/EeMAXNXnTEdHBzKZDCYmJpUu3ajMCT3F9PT0KvxsK6u++vXrc5JgExOTCo9RympL5ubmyMvLU5n1ttVBamoq4uPj8cUXX+Dvv/+mydWEKEChJPjevXvw8fGBnp4eDh8+jKFDh2LXrl3o0qWLsuJTO0IP0q/OF2lubi6MjY3x6NEj3r/UAKBZs2Z49eoV5s2bp5TXE2PigyoOoyH8unfvHlJevUQdnfLnNUgYCSSQIPv9Ozx/X/7nLE+uw06aVLQ+ANCDBIWQQEeWh+ePHyhUX3XaEaALwAC6yEFu4n/LfYQyj0/FSXdV68Er0o7UZVJrdVy9ehUrVqyAjo4ODh8+jEGDBmHjxo3o27ev2KGJRqyhAq8qOUn/UFD0fVRPv+LdS1/l1EGbGtUoLG0ZgqFQEhwUFISffvoJCxYsgIWFBYKCgrB27Vr88ssvyopPLQnZ86yKCWJ6ejqMjY1x/vx5nD9/vsLH1eSLTeiJD9o+jEZsDRo0QNrrF5U+pjpfNDWdbFVHR15Fklg5Zf/PJRJAHwx0ym7MWWPVSZbbmMgAVL2LpbISfRlT9MbKS/CL1STRL+/YlJGRwRnPnZubCwCc244fP85JlFX15DU0NBRHjx7Fd999h8aNG+PQoUNYuHChVifBYqhq3snr/+8kMW9lVeFj2lTjdQj/FEqCc3Nz0bZtW7bs5ubGGQ9K+FedL4fKkoSavE4xob/YxBqbpErr1Gqb6nw5VPVFU9MvmaoS7+ok3cWvUx12dnZVPjYhIQF5eXmwatu2wqX/avIe8+Q6lSbqxW1XV1LxBit5cp1q1wcIe2JRnd513f9/j/LcD+xtaa8/sP/7mhybhCaTydC4cWO2bGNjA4lECWdIpEaqOkHiY+J0ZT3PQNXHJ1XveRbre16hJFhPTw/v379nG2FCQoIiL8cLof+w2jKYXOgeM0W/vGv6xa0t/0dVVd6XTHXW0VXksrbQvTvV6Wn09vZGTk4OzM3NFV5/XVlJN1D99yj0iYWmMzIyQkpKCvudGxMTgzp16IqTphOjU0BbKJQET5s2DV5eXnj37h3mz5+PGzduYNWqVcqKTWkqS6D46PkQMmET47KxKvaYFY/RtbKqOEGhA4BmUfZqAmL07lRGKpXiw4ei3sqbN2/i22+/Veg9VyfpnjRpEnJyctCsWTPMmjWr1nUVE/rEQtOPFQsWLMC3336Lt2/fYvTo0UhMTMT27dvFDotDjA4ETe8lrU7bFbr3WdnjnsU6YVYoCe7ZsyfatGmDGzduQC6XY+bMmWjTRrU+SlUdFKtzQARU9yAsxhmiKvaYKfsAQD1Yqqe83Rf5VLrnubzJkMqcUFW6vhcv/vf5YxgGc+fOhaWlJW+TuKRSKbtV8rVr1+Dl5aXwiYbQJxZiXEEQkr29PY4ePYrY2FjI5XJ07twZZmZmYodVhpAdQdRLyg+hv+fFGmetUBI8cuRInDp1Ci1btlTkZXilCgdhPusUI0Gsqs4FCxYgMTERkydPVtsDC018IKUJvY5tcS9wRWVlqGgbY7lcjvnz56N58+a8JvrPnz9Hbm4uFixYwFlek8+kVN3XI7558yYeP36MadOmISoqCl9//bXYIXEI3REkVi+pplO13Imv/6FCSbCRkRFSU1M52zgSrvJ6IfjuURLby5cvIZfLERISgq1bt4odTq2UbpCa1JtEqkfonufS9Xl4eJR5DJ9f4sW9wCXLzZs3560+ACgsLARQdMz47LPPeKlD6P8jn/bs2YMbN24gNTUVEydOxI4dO5CUlISZM2cq9LoxMTEICAjAq1ev4OLigqCgINStW7dWr1WbYyfA71UVoa/iVLSEpjp/R2jq31ShJDgnJwd9+vSBhYUFjI2N2dvPnDmjyMvySuh/ZHn47okQ88Oak5OD/Px8AEBycjKnh0dZdarCiYW69yaVVp0vwWfPnmHRokV49uwZbG1tERwczJ4AX7hwAevXr0d6ejq+/PJLrFq1qtKJVaRqTZs2RUpKCqesbCUTRE9PT8hk/xveo6urq/Sku2R9CQkJ7I54+fn5an3lSCjnzp1DZGQkRo0ahYYNG+Lo0aMYPXq0QklwTk4OZs+ejcDAQHTv3h3+/v4IDQ3FwoULlRg5l9DHT02vTwya8jdVKAlesmSJsuIQDd//SFXohRDyw1rykmpxma8enpK04f/Il+p8CRaPSfXy8oKHhwdCQkKwbt06bNu2DampqVi6dCn27duHli1bYsaMGTh69CjGjRsn4rtSf/Pnz+dsm1zydz707NkTV69eZcuurq681lf6KpE6XzkSip6eHgwMDNiyqakp9PQU+hrH7du30axZM7i5uQEAfHx84OXlpbQkWIxjp9hXcfgmRkeQpv5NFWo9jo6OyopDMJqczBQT88Na+hJufn4+r71JRHHV+RJ8+vQp0tPTMWbMGADArFmz4OTkhI8fP+LSpUtwcXGBra0tAOC7777Dtm3bKAlWUOvWrdne4KZNm/LeS+rl5YXo6GjI5XLo6OjAy8uL1/qSk5MrLZOyPv30U1y9ehUSiQT5+fkICwtDs2aKrUeelJTE+WxZWloiLS0NGRkZNLFXjWhD7zMfFDuFJKSUFi1acL7MWrRoIWI0pDqq8yWYlJTEmQBrbGyMhg0bIikpCYmJiZznt2zZEs+fPy+3rszMTGRmZnJuS01NVdp70TTz58/H8uXLee8FBgAzMzO4urri6tWrcHNz4/1LlY4VNbds2TL88MMPiI+Ph52dHTp37oxNmzYp9JpZWVmcSYl6enrQ19dnd9YDqN2qGuoIUh5KgolSzZkzh/OFPW/ePBGjIdVRnS/B0o8BAENDQ+Tk5CA7Oxvm5ubs7XXq1OE8t6QDBw5gx44dSn4Hmqt169aIiIgQrD4vLy+8efOG915ggI4VtfHHH3/gwIEDyMnJgUwmq/XktZKMjIyQl/e/jY8KCwtRUFDAae/Ubomm0pgkuHhCB52disvAwACNGjXC69ev8emnn0JPT6/MOGFtVvz5LDkBSWzV+RIs/RigaNt0Y2PjMvfl5eWVSZiLeXt7Y/jw4ZzbXr16hQkTJlDbVRHTpk1DVlYWsrKyeK1H3Y4VqtB2Q0JC0Ldv3wrbV21YWVnhwoULbDkpKQkNGzZE/fr12duo3RJ1Vlnb1Zgk+O3btwBA4xBVyNOnT9GnTx+xw1BJb9++VZn1tavzJWhlZYWkpCS2nJ2djbS0NFhaWsLKygqxsbHsfaWHR5RkamoKU1NTzm3FByhqu9pLnY4VYrbddu3aYdeuXXBwcOCsyNShQ4dav6aTkxP8/f0RFRWFHj16YOfOnRg4cCDnMdRuiSYor+1KGIapeL9gNZKbm4u4uDiYm5tDV1e32s9LTU3FuHHjcPDgQcHWOxa6Tk2vT4w6a1ufTCbD27dvYWtrC0NDQx4jrL6cnBz07t0ba9asQY8ePbBkyRKYmpoiICCA87ivvvoK48aNg6enJ7Zs2YJnz55hz549eP36NYYNG4Yff/wRbdq0wYwZM+Dm5oYpU6ZUq351abv0uVb/+hSpUxXabu/evcvcJpFIEBUVpdDr3r17l7NE4vr166scalHbdgto/udMnT7X2lBfZW1XY3qCDQ0N4eDgUOvnW1hY8L4wvNh1anp9YtRZm/pUpQe4mJGREUJDQxEQEAA/Pz+4uLjA19cXKSkpGDRoEM6dO4emTZti+/bt8Pf3R3BwMDp27IiNGzcCKJqxvnbtWvj5+SE9PR0DBw7ExIkTq12/urVd+lyrf321rVOstrtlyxbMnTsXQUFBCrWVinTp0qXG6/sr2m4Bzf+cqcvnWhvqq6jtakwSTAipvfK+BOvWrcsZ5tCmTRscOXKk3Of37dsXffv25TVGQrTV2bNnMXbsWKxatQrh4eEofQGXljIjpHYoCSaEEEJUWI8ePdCrVy8wDIPu3btz7pNIJHj8+LFIkRGi3nTEDoAQQgghFVu5ciUeP36Mrl274s8//+T8UAJMSO1pfRJsamoKHx+fMjNfNalOTa9PjDrFeI+ESxv+55r+HrXhb6pMBw8eFDsEpdD0z5k2fK41pT6NWR2CEEIIIYSQ6tL6nmBCCCGEEKJ9KAkmhBBCCCFaR6uT4AMHDsDV1RVdunTB9OnTkZaWJki9t2/fRufOnQWpa8OGDejYsSPs7e1hb2+PkSNH8lpfcnIyJk2ahG7dumHYsGGIi4vjtb7Tp0+z783e3h52dnawtrbG3bt3eavz1q1b+Oqrr9C1a1eMHz8eiYmJvNVFykdtV/mo7RIhaHrbFbrdAsK2XTHaLcBj22W0VExMDOPq6sokJycz+fn5zKJFixh/f3/e683Ozmb69+/P2Nra8l4XwzDMpEmTmKtXrwpSV2FhIdO/f39m//79jEwmY44ePcr0799fkLqLhYSEMNOnT+ft9QsLCxlHR0fmP//5DyOTyZhNmzYxkyZN4q0+Uha1XeWjtkuEoA1tV8h2yzDit12+2y3D8Nt2tXad4K5du+LXX3+FsbExMjMzkZWVBUtLS97r3bx5M3r27FnhpgPKFh8fj3bt2glS1927d2FgYMDuFjZixAjY2NiAYRhIJBLe63/27Bl+/vlnnD17lrc63r9/j4yMDMjlcjAMAx0dHdSpU4e3+khZ1HaVj9ouEYI2tF0h2y0gbtsVot0C/LZdrR4OYWxsjDNnzsDR0RH379+Hl5cXr/XFxsbiwYMH8Pb25rWeYlKpFOnp6VixYgWcnJzg7e2Nv/76i7f6/vzzT7Rq1QqLFy9G9+7d4eXlBSMjI0G+RAEgJCQEkyZNgrm5OW91mJmZwcPDAxMmTEDHjh1x9OhR+Pv781YfKR+1XeWitkuEosltV+h2C4jbdoVotwC/bVerk2AAGDBgAO7fv4/+/ftjzpw5vNWTn5+PgIAArFq1SrAvFqlUCkdHR/j4+CA6OhqOjo6YMWMGZDIZL/V9+PABUVFRcHZ2xvXr19G7d2/4+PjwVl9JL168wO+//45x48bxWo9MJkODBg0QHh6O2NhYeHh4YMGCBbzWScpHbVd5qO0SIWlq2xW63QLitV2h2i3Ac9tVyqAKDfDx40fG2tqakUqlvLx+cHAwExISwjAMwyQnJws2rrAkuVzOdOnShUlISODl9ffs2cMMHjy4TH1//fUXL/WVFBoayixatIj3es6dO8f4+Piw5cLCQsbOzo63vympGrVdxVHbJWLQ9LbLd7tlGPHarlDtlmH4bbta2xN86tQpLF++nC0XFhZCR0cHJiYmvNR38eJFhIeHw8HBAUOGDEF+fj4cHByQkpLCS30AcO/ePRw+fJgty+VyyGQyGBgY8FJfq1at8PHjR7bMMAw7hodv0dHR6NevH+/1pKamoqCggC3r6OhAIpFAT09rh9cLjtqu8lHbJULQ9LYrdLsFxGu7QrVbgN+2q7VJcMeOHXHu3Dncu3cPeXl52LhxIwYMGMDbh/X8+fO4c+cOYmJicPr0aRgYGCAmJgZNmzblpT4AMDQ0RFBQEB48eICCggJs2bIFNjY2aNasGS/1ubi4IDs7G+Hh4ZDJZAgLC0Pz5s1hZWXFS33F5HI5Hj9+jE6dOvFaDwA4OTnh1q1b+Pe//43CwkLs3r0bLVu2RPPmzXmvmxShtqt81HaJEDS97QrdbgFx2q6Q7Rbgue0q3Jesxn799Vemb9++jKOjI+Pr68u8f/9ekHqFvCxz4sQJpnfv3oydnR3z7bffMikpKbzW9/jxY2b06NGMvb094+npyTx79ozX+hiGYd69e8dYW1szcrmc97oYhmHOnDnD9O/fn+natSszadIkJjk5WZB6yf9Q21U+artECJredoVutwwjfNsVut0yDH9tV8IwAlzvIoQQQgghRIVo7XAIQgghhBCivSgJJoQQQgghWoeSYEIIIYQQonUoCSaEEEIIIVqHkmBCCCGEEKJ1KAkmCpPJZHj9+rXYYRBCaojaLiHqidquclASTKrN2toajx8/BgDY29sjPj4eADB//nz89ttvYoZGCKkEtV1C1BO1XX7RfpGkVmJjY9nfpVKpiJEQQmqC2i4h6onarvJREqyhbt26hXXr1iE5ORk9e/aEXC5Ht27dEBUVhT59+mDixIkAgOPHj+PAgQM4deoUGIZBaGgozp07h9TUVNSrVw/ffvst+9iSrK2tcfLkSRw/fhwxMTGIjY3FixcvkJiYiE6dOmHu3LkAgNzcXDg7O+Pw4cOwtrYW7g9AiJqitkuIeqK2q35oOIQGSktLw8yZMzFx4kT897//hbOzM6Kioqp83tmzZ3Hq1Cn89NNPuHv3LgICAhAUFIQ3b95U+JwlS5bAwcEBCxYswPLlyzFkyBD8+uuv7P2XL1+GpaUlNURCqoHaLiHqidqueqIkWANduXIFzZo1w4gRI6Cvr49vvvmmWo3B3d0dBw8eRJMmTfDu3Tvo6+tDJpPV6LJL//798ebNG8TFxQEoauBDhgyp9XshRJtQ2yVEPVHbVU80HEIDSaVSNGnShHNby5Ytq3xeYWEhAgMDcfPmTTRu3BidOnUCADAMU+26jY2N0adPH5w7dw6Wlpa4ceMGAgICavYGCNFS1HYJUU/UdtUTJcEaqHnz5jh58iTntuJLKzo6OigoKGBvz8jIYH/fvHkz8vLycO3aNRgaGuL9+/c4duxYjesfMmQIVq5cCWtra3Tp0qXMgYEQUj5qu4SoJ2q76omGQ2ggNzc3fPjwARERESgsLMT58+fZWaWtWrXCpUuXkJmZiZSUFBw/fpx93ocPH1CnTh3o6uri/fv3WLduHQBwGm95DAwM8PHjR7bco0cP5OXlYf/+/Rg6dCgP75AQzURtlxD1RG1XPVESrIFMTEzwj3/8A+fOnYOzszNOnz6Nzz//HAAwY8YM1K1bF7169cK0adM444bmzJmD169fw9HREYMHD0bDhg1hbW2NJ0+eVFrf4MGDsW/fPvj6+gIAdHV1MWjQICQlJaFfv378vVFCNAy1XULUE7Vd9SRhajLwhKit8ePHc5Zo4dtPP/2EuLg4BAcHC1IfIZqK2i4h6onaruqjnmCiVFKpFH/88QfCw8Ph6ekpdjiEkGqitkuIeqK2W3uUBBOliomJgZeXF9zd3dG9e3exwyGEVBO1XULUE7Xd2qPhEIQQQgghROtQTzAhhBBCCNE6lAQTQgghhBCtQ0kwIYQQQgjROpQEE0IIIYQQrUNJMCGEEEII0TqUBBNCCCGEEK1DSTAhhBBCCNE6lAQTQgghhBCtQ0kwIYQQQgjROpQEE0IIIYQQrUNJMCGEEEII0TrVSoJzc3MRHx8PhmGQk5PDd0yEEEIIIYTwqsok+N69e+jbty++//57/P333+jVqxfu3r0rRGyEEEIIIYTwosokOCgoCD/99BMaNGgACwsLBAUFYe3atULERgghhBBCCC/0qnpAbm4u2rZty5bd3NwQEhLCa1C1kZubi7i4OJibm0NXV1fscAgpl0wmw9u3b2FrawtDQ0Oxw1EJ1HaJOqC2y0XtlqiLytpulUmwnp4e3r9/D4lEAgBISEjgJ0oFxcXFYdy4cWKHQUi1HDx4EA4ODmKHoRKo7RJ1om5t9/bt2/j+++9x//79Mvc9e/YMixYtwrNnz2Bra4vg4GBYWFhU63Wp3RJ1U17brTIJnj59Ory8vPDu3TvMnz8fN27cwKpVq3gLsrbMzc0BFL3J6jZiojkOHTqE69evw9XVFWPHjhU7nAqlpqZi3Lhx7OeVUNtVJStXrsTr16/x6aefIiAgQOxwVIo6tt2cnBwEBARALpeXuY9hGMydOxdeXl7w8PBASEgI1q1bh23btlXrtandqhZquxWrrO1WmQS7u7ujdevWuHHjBuRyOWbOnIk2bdrwEqgiii/HWFhYoHnz5iJHQ4QklUpx9+5d6Ovr486dO5gyZQoaNmwodliVosuH/0NtVzUkJCQgLS0NBgYGSEtLQ2FhIVq1aiV2WCpHndru5s2b0bNnTxw5cqTMfU+fPkV6ejrGjBkDAJg1axacnJzw8eNH1K1bt8rXpnarOqjtVk95bbfCiXEpKSnsj76+Pnr16oXevXvDyMgIKSkpvAZKSE1ERkZCJpMBKBr7ExkZKXJEhCjHvXv3MHLkSDx48ID3urZu3copCzH3QyqVYunSpUhPT+e9Lm0TGxuLBw8ewNvbu9z7k5KS0LJlS7ZsbGyMhg0bIikpSagQiZKI0XY1RYU9wYMGDYJEIgHDMMjNzYWJiQl0dXWRmZmJRo0a4d///reQcRJSoejoaE4SfO3aNXz33XciR0WI4jZt2gS5XI6NGzciPDyc17qSk5MrLfMhMjISjx8/RmRkJLVZJcrPz0dAQAA2btzIzucpLSsrC0ZGRpzbDA0Ny90LIDMzE5mZmZzbUlNTlRcwUYgYbVdTVJgEx8bGAgCWL1+O7t27Y9CgQQCAqKgoXLp0SZjoCKmG7t274+rVq2zZyclJvGAIUZJ79+4hKysLQFHC8uDBA3Tq1Im3+lq0aMH58mzRogVvdQFFvcBXrlwBwzC4fPkyPD09VX4Yk7rYvn07evfuDWtra7x8+bLcxxgZGSEvL49zW25uLoyNjcs89sCBA9ixYwcvsRLFCd12NUmV6wTHxcWxCTAA9OnTB3/++SevQRFCiLbbtGkTp7xx40Ze65szZw6nPG/ePF7ri4yMZCdsyeVyGsakRBcvXkR4eDgcHBwwZMgQ5Ofnw8HBgTOU0crKijP0ITs7G2lpabC0tCzzet7e3oiKiuL8HDx4UJD3QqomdNvVJFUmwXK5HL///jtbjo6OrvDyCiFiKPn5BIqWBCJE3RX3AldUVrbWrVvDxMQEAGBiYsL7xJro6GgUFhYCAAoLC3Ht2jVe69Mm58+fx507dxATE4PTp0/DwMAAMTExaNq0KfuYdu3aoV69ejh48CDy8/OxY8cOuLi4lDspztTUFM2bN+f8qNOKEJo+9rx169b49NNPAQBNmzalSXE1UGUSvHTpUvj6+sLd3R1ubm5YtmwZVq5cKURshFSLq6srO+tTV1cXbm5uIkdEiOJKz2Tme1UCqVTKXh7Py8vjPWFwdXWFnl7RiDw9PT1qtwJISUmBvb092yO8fft2nD59Gt27d0dcXBxWr14tcoT8KDn2XFMVJ76UANdMlUukOTg44MqVK3jy5AkAwNramj1wEaIKPD09ceXKFchkMujq6sLT01PskAhRWPFkz4rKyhYZGQmGYQAUrSHL92Q1T09PREVFAQAkEgm1W540b94cf/zxB4CiXsLi+T4A0KZNm3KXT9Mk2jD2XCqV4s6dOwCAmJgYpKena9x75EuFPcF79+4FAKxevRobNmzAiRMncOLECaxfvx5r1qwRLEBCqmJmZgZ3d3dIJBL07t2bGj8htVDeKit8MjMzQ506dQAABgYG1G4JL7Rh7DktE1p7FSbB9erVAwA0bNgQDRo0KPNDiCrx9PSEjY0N9SYRUkt2dnaccpcuXXitLyEhgbP6RWJiIq/1Ee2kDWPPhT6B1SQVjmso3kXmq6++QuvWrTn30R+YqBozMzO6QkE0yqefforXr1+z5ZKTmvhQepOEv/76i9f6ylvgv/RthCjK1dUVUVFRKCws1Nix57RMaO1VOTHOy8sL586dA1B0FhUYGEj7UhNCCM+mTp3KKfO9mUTpnUD53hmUFvgnQvD09ISOTlGqo6OjQ1cLCUeVSfCBAwewe/duLF26FKNGjUJaWhpOnz4tRGyEEKK1hF76r/QC+3wvuC90fUQ7acOcETGWCdWUZeeqTII/++wzTJ48GSdPnsTbt28xbdo0mJqaChEbIYRordLDzkpe7uSD0AvuT5o0iVOePHkyr/UR7aXpc0ZcXV05ZSGGfGjKsnNVrnU2d+5cxMfHIzIyEgkJCfD29sbUqVMxceJEAcIjhBDVIJVKsXnzZvj6+grSm2Rubs4ZImBubq70Oq5cuYLLly+zZT09PRQWFsLAwABhYWEAgN69e8Pd3V3pdZfXe8XnttBEe2n6nJF+/frht99+Y8v9+/fntT5NWnauyp5gIyMjHD9+HDY2Nhg0aBCOHDmC8+fPCxEbIYSoDKF7Pt6+fVtpmQ/Fa8A3b96c97qio6M5ZZpwTTSF0EMFLl68yO7kK5FIcOHCBV7r06Rl56pMggMDAyGXy/Gf//wHN2/eRIMGDWjPcEKIVind8yHEl1uHDh04ZVtbW6XX4e7ujtWrV7M/bdq0QYcOHRAcHMzexkcvMEA7xhHNFRYWhkePHrFXU/gWHR3N2eiG7xNKMZad4+vEosrhEA8ePMCMGTPQqFEjyOVy/P3339i9ezfva0gSQoiqKK/ng+/VGh4/fswpP3r0iNf6hFa80yNAs/aJcpUe5pORkQEAnD0O+BrmI5VKcevWLQDAzZs3Bdm9zdXVFRcvXoRcLoeOjg7vJ5Surq64dOkSu0ur0GOQlXnsrTIJ3rBhA4KDg9l1527duoX169fj6NGjSguCEEKqIuYXW3k9H3wnwdnZ2ZWW1V3xrP0LFy5o7Kx9ohqKew+F2OirdO9vWFgYFixYwGudnp6e7JhguVzO+wllyfpkMhnv9fE5BrnK4RBZWVmchZednZ2Rk5OjlMoJIcILCwvD8uXLy73v77//hre3N+zt7TFs2DA8efKEvS8mJgaDBg2CnZ0dZsyYgY8fP7L3HTp0CF988QW6deuGTZs28f4egKIvNqHG3Lm6unLG3NGle+XQ9Fn7RBylh/lYWVnBysqKcxtfw3yKe4GL3bx5k5d6SiruECj2/v17Xut78eIFp8z3Gt98jkGusidYIpHg1atXaNasGQDg5cuX0NXVVVoAhBBhFBQUYNeuXdi1a1eFSceyZctgZ2eHvXv34siRI1i8eDF++eUX5OTkYPbs2QgMDET37t3h7++P0NBQLFy4EA8ePMCuXbtw6NAh1KlTB5MmTULXrl3Rq1cvpcbv7u7O+eJatmwZAGD16tVKrac8JWdfMwzDy+zr0j3d5Vm2bBlvvd1CqKg3f/PmzZzHqfN7JERoQu++WLqjY+PGjQgPD+etPj6vxFWZBM+cOROjR4+Gs7MzAODGjRu0YxwhaigwMBAvX77E6NGj2bPqkj5+/IibN28iJCQEBgYGGD9+PH788Uc8f/4cL168QLNmzdgeUB8fH3h5eWHhwoX49ddfMWTIEFhaWgIAJkyYgJMnTyo9CRZT8exrhmHY2dd8D4fQ0dHh/J+Kd73SJEJepiaELyVP7gwMDJCfn8/eZ2BgwJ6wK+vkrvTJZHm7L/J5wpyVlVVpWdn43Pq6yiS4b9++aN26NW7fvg25XI5p06ahTZs2SguAECKM6dOnw9zcHNu3by93ua0XL16gUaNGMDExYW+ztLTE8+fPkZKSglatWnFuT0tLQ0ZGBhITE9G7d2/2vpYtW1a4gkxmZiYyMzM5t6Wmpir4zvhX3uxrZSfBpXu67927h1WrVrHl5cuXq/06umL25hMihObNmyMhIYFT5lt5iTefitcTL1nmE5+TaCuM/NatW3B2dmbXm/vkk08AAM+fP8fz58+rdTnw8uXLCA4Oxt9//4327dtj1apVaNOmDQ4dOoSdO3ciLy8PY8aMga+vL4Cibu6VK1fi119/hYmJCRYuXIivvvpKGe+TEK1X1WYL2dnZMDQ05NxmaGiInJwcZGVlwcjIiL1dT08P+vr6yM3NRXZ2Nue+OnXqIDc3t9w6Dhw4gB07dijwLsTBZ09ERezs7NjeYBMTE7VPgAnRVKVP7saMGYP8/Hw0bdoUwcHBvNeXkJDAmXy3fv16TqeFspW+KsX3EFk+J9FWmASfO3cOzs7O5Y7zkEgkVSbBqampWLRoEXbt2gU7Ozvs378fc+bMwbp16yocP/jTTz8hOTkZ165dQ3x8PKZPnw5nZ2eaNUyIAAwNDTm9CQCQm5sLY2NjGBkZIS8vj729sLAQBQUFMDIyKnNfXl4eJykuydvbG8OHD+fclpqainHjxinxnSifWMt5NW/eHC9evICfn58g9RFCFNe8eXMkJibyvipEsdatW7O9wS1atOA1AQaKkvCSO9QJMX7f09MTycnJSj/2VpgEF28xWNvBzq9fv8aIESPQtWtXAMDYsWOxceNGnD17tsLxg//6178wZ84cmJiYoEuXLujRowd+/fVXfPPNN7WKgRBNNGvWLIwdOxYuLi5Kfd2WLVvi3bt3yMnJYZPYFy9eoFWrVtDT0+PsQpSUlISGDRuifv36sLKy4swWTkxMrPAgbGpqClNTU6XGzZfS4+709fWRn58PExMTdiIX3xO46tWrhw4dOlAvMFFb5U34FHJ5QzEYGRnBxsaG92S0pOLEe968ebzX5enpybkyJkSnAF9bX1eYBC9evLjSJwYGBlZ6v729Pezt7dlydHQ0mjVrhuTk5ArHDyYlJcHKyoq9z9LSkjO2ppi6jiskRBn69euHnTt3YuXKlRg1ahRGjBihlIlF9erVQ/fu3REaGorZs2fjyJEjaNCgAdq2bYvmzZvD398fUVFR6NGjB3bu3ImBAwcCAL788kv4+Phg2LBhMDExQXh4OGbNmqVwPKqmeCH6qoaVEEIqRxMilU/IxNvMzAx9+vTBhQsX0LdvX7W+Wl9hEvzZZ58BAO7evYuUlBQMGTIEurq6+Ne//oUWLVrUqJI///wTK1aswOrVq3Hw4MEKxw+WHpNoaGhY7gQedR1XSIgyDBkyBEOGDMHz58/xyy+/YOTIkbC3t8f48eNr1WNob2+PvXv3wsHBAevWrcPixYvh5OQEKysrbNmyBRKJBEZGRggNDUVAQAD8/Pzg4uLCjuXv3LkzZsyYgUmTJiEnJwdjx45lE2R1RpO4CFFc6XYEUFvSBHwNTxBahUnwt99+C6BoaaCSieuoUaMwYcKEalcQExODmTNnYt68eejfvz+OHz9e4fhBQ0NDzn25ubnlji1U13GFhCiLXC5HUlISEhMTIZPJ0KhRI6xYsQK9evXC7NmzK31u6V7a2NhY9vfGjRtXuN99ly5dcObMmXLvGzt2LMaOHVvDd0EIIUQdVGeNb3Uc0lLluhZpaWmc5TYkEkm1d2mKjo7G/PnzsWrVKnaVh8rGDxbfV9zTnJSUBAcHhzKvq07jCglRtpCQEBw/fhwtWrTAN998g61bt0JfXx/Z2dlwd3evMgkmRJuIud02IZqK7yEt1Wm3gOJtt8ok2NnZGVOmTMHXX38NhmFw6tQpzpjeiiQnJ2Pu3LkIDg7mPL6y8YNffvkl9uzZg86dO+Pp06e4ceMGFi5cWOs3R4gmkkql2Lt3L9q3b8+53djYWLAti/kWFhaGxMTESh/z119/AfjfpdXytGrVCpMnT1ZmaETNadN41AMHDiAsLAwfP35E9+7dsWbNGjRq1IjzmA0bNiAiIoJd67VNmzY4duyYGOESFSb28DC+2m2VSfCyZctw6NAhXLx4EQAwcOBAjBkzpsoXPnbsGLKzs9lxg8UuXbpU4fjBiRMnIiUlBX369IGJiQnWrFkDCwuL2rwvQjSWTCYrkwDPnj0b27ZtwxdffCFSVMqVmJiI548foJlRXoWPqVtYtDZlbuK7cu9/lVOHl9iIehH7y1ssd+7cwb59+3Do0CE0adIEy5cvx+bNm7F27VrO4+Lj47Fjxw5B1r4mpLqEardVJsF6enqYMGFCjcYBA8C8efMqXKqjovGDBgYGWLFiBVasWFGjugjRBgEBAfj7779x584dSKVS9vbCwsIy22ZqgmZGeZj12ataP3/702ZKjIYQ9dK1a1f8+uuvMDY2RmZmJrKystilSUuKj49Hu3btRIiQEPHxu9cd0UpSqRSbN2+Gr6+vWi+dompGjhyJp0+fIj4+HgMGDGBv19XVhZ2dnXiBEUJUkrGxMc6cOQM/Pz80adIE/v7+nPulUinS09OxYsUK3L9/H9bW1lixYgVnqVKgZsuSCj2UiYZOEUVQEkyULiIiAo8ePUJERIRGrhcrlo4dO6Jjx47o0aMHmjRpInY4hBA1MGDAAPTv3x/BwcGYM2cOjhw5wt4nlUrh6OgIHx8fWFtbY+/evZgxYwbOnj3L2Qq3JsuSCj2UiYZOEUVUmQQfPHiQlh4j1SaVShEdHQ0AuHbtGry8vKg3WEnmzJmDrVu3YsqUKeXeX9HyZUQ1qWuPWU3qJOIrXt1p7ty56Nq1K9LT09ljctu2bfHTTz+xj50xYwb27duHFy9ecHqDa7osqdBDmWjoFKmtKpPgn3/+mZJgUm0RERGQy+UAitaypd5g5Zk6dSqAqhMUoh7UscespnUSxZTcqrw8/fv3r/C+U6dO4c6dO1i1ahWAorkDOjo6MDExYR9z7949/Pnnn+xkd7lcDplMxlkWFaBlSYnmqjIJtrKywtKlS+Hg4ABjY2P29soaH9Fe169f55Sjo6MpCVYSW1tbAICjoyOSk5PRokULXL16FQ8fPqzxxFVVl5GRgbScOgr10LzKqYNG/7+2ZHVU1VPKRy+puvWY1aZOUnvh4eHs7w8fPkSHDh3YskQiqfR7uGPHjli1ahU8PDxgY2ODjRs3YsCAAZwE19DQEEFBQfj8889hY2ODbdu2wcbGBs2a0f+YaIcqk+CMjAxkZGQgKSmJva2qxkfERYvDa7bly5cDKLpEuXTpUvTs2RP+/v7Yvn27yJGpt6p6SqmXtObEOLHQJCWT4GHDhnHKVWndujXWrl0LPz8/ZGZmomfPnli5ciViYmIwdepUxMbGon379li+fDnmzZsHqVSKLl26cHYAI6qBJv/xp8okuCaNjqgmIReHt7Ozw507d9iyvb0973Vqm7i4OBw7dgx79uzB8OHD4evrCw8PD7HDUqoGDRrAMOOpwr2khjX8zNPYQuUS+sRCk5MFiURS4+d8+eWX+PLLLzm3OTg4cLZKHzZsGIYNG6ZoeFpF6JM7mvzHnyqT4DVr1pR7+9KlS5UeDFEOMReHf/36NaeckpLCe53ahmEY6Ojo4MaNG5g2bRoAIDc3V+SoSE2JMeRDDEKeWFCyID5t+FyLcdVI6BN0bbmKU2USXLL3sKCgAFeuXIGjoyOfMRE1VjrppSRY+SwtLTF16lS8fPkSjo6O8PX1hbW1tdhhEaISqDdfu4iVdGv650xbhodVmQT7+PhwylOnTsX06dN5C4iotxYtWnB2L2vRooWI0WimwMBAXLx4EV27doW+vj4cHBzocqYaEnrIhzKSBUD1e+k0SfGVHgBITk7mlAFg9+7dQodUJbGGMhHlEzLRF6vnucabZdStWxdv3ryp6dOIlhg5ciRCQkLY8qhRo0SMRjMZGxvDwcEB79+/x8OHD9GpUyckJCRwZo6TmtOGy7hEvZTcGXLAgAF4//49dHR0UK9ePRGjUi2UdGsGsXqeq0yCV69ezQ7IZxgGDx8+ROvWrWtcEdEOx44d45SPHj2KHj16iBSNZtq6dSv27duHRo0asbdJJBJERUWJGBVRdcpIFgBKGIRUvEHF8+fP8cMPP+Dx48cAgC5duiAoKEjM0Cr1qoqTyQ8FRQlNPX1Zhc9vw0tk6klbTtDFGGJSYRKcn58PAwODMrt9DRkyBEOGDKl5dEQrlBwKUV6ZKO7UqVO4cOGCxm+dLPQXqRg9SpQskOrw9/eHp6cnRowYAYZhcOTIESxZsgT79+8XO7QyWrVqVeVjXv//pW3zVlbl3t+mmq9TTOh2pC1JqTaoMAn28vLC0aNHkZOTAz8/PyFj0nhSqRSbN2+Gr6+vxm0pTGOC+ffpp59qfAIsxhep0LThPRLlyMnJYXd1A4Dx48fj6NGjIkZUseqMx1TmikXa0I5oyAd/KkyC3717h927d+Ps2bP45JNPytw/adIkXgPTZBEREXj06JFGbik8Z84cLFiwgC3PmzdPxGg0k7OzM4KCgtCnTx8YGhqyt2vSmGChv0jFoA3vkXrMlKN169a4e/cuunTpAgB48uQJmjdvLnJUqkGMdqQNSam2tN0Kk+DVq1fj3LlzyM3NxZMnT4SMSaNJpVJER0cDAK5duwYvLy+N6g1u3bo1DA0NkZubC0NDQ5U+u1ZXx48fBwCcP3+eva26Y4JjYmIQEBCAV69ewcXFBUFBQahbty7nMf/5z3+wevVqvHr1Ck5OTlizZg3MzMzAMAy2bNmCyMhI6OrqYtKkSfj2228BFH0pDx06lJOUHzx4EJ9//rky3rJgKrusWtUl1eLn0/AEomwpKSkYP348rK2toaenh0ePHsHc3ByDBw8GAJw5c0bkCAlRTxUmwT169ECPHj0QFham0gsdq5uIiAjI5XIAgFwu17jeYKlUym7ckJubi/T0dEGSfE0eYlJayS2xayInJwezZ89GYGAgunfvDn9/f4SGhmLhwoXsY96/fw8fHx/4+flh2LBh2L9/PxYuXIi9e/fixIkTOHPmDA4dOoQGDRrg+++/h4WFBb766ivEx8ejf//+2Lp1q7LepuCqOmGr6pIqoPqXVRUdO1n8GtVN9LWhx0wIJa+uESIEbWm7FSbBJXeKK2/XONoxrnauX7/OKUdHR2tUErxr164yZX9/f97r1eQhJqVlZWVh06ZNeP78ObZu3YrNmzdj4cKFMDExqfR5t2/fRrNmzeDm5gagaA1wLy8vThIcGxuLJk2awNPTE0DRuuB79uxBeno6rl69ivHjx7NJ3qRJk3Dq1Ck2CW7Xrh0/b1ggVZ3sq/vQBGWMnQRUP9HXRLRBFdH0SbRiDb+oMAluoOLZO1FNd+7c4ZRjYmJ4r1MqleLq1asAgCtXrmjcEJPS1qxZg8aNGyMtLQ116tTBx48fsXz5cmzatKnS5yUlJXGSF0tLS6SlpSEjI4Nt7zKZjDOkAShaGvHVq1eQy+WoU+d/6zDq6Ojg5cuXAID4+Hjk5ubiyJEjMDQ0xPfff48RI0Yo5w0TpdCGMciEaCJtmPwnlgqT4NI7xRHl6NmzJ5uwAYCrq6t4wWiIiIiIMmVN7g1+/PgxAgMDce3aNRgZGSE4OBhff/11lc/LysqCkZERW9bT04O+vj47fAUA7O3tkZiYiF9//RV9+vTBP//5T+Tm5iI/Px+urq44cOAA3NzcYGRkhPDwcOTn5wMoOmm2tbXF6NGj8eTJE0ydOhUtW7aEg4MDJ4bMzExkZmZybktNTVXkz0EIS1sm8xDxCTl/QKwTWCHfo1jDL6rcLKN44H1pNBC/dry8vBAdHQ25XA4dHR14eXmJHZLaK3lSART1BmtyEqyjo8Mpy2SyMreVx8jICHl5/9uNp7CwEAUFBZzE2MzMDFu3bkVgYCBWr16NsWPHok2bNqhXrx5GjhyJFy9eYPTo0ahfvz6++eYbdpLexo0b2dfo1KkTBg8ejOjo6DJJ8IEDB7Bjx45ave8rV65wxkOXt41m79694e7uXqvXJ/ygyYZE02jD/AFteI9ANZLgkl8wBQUFOHfuHK39qgAzMzO4urri6tWrcHNz04jL9qWTk9KKP0OalKCIORGvW7du2LhxI3Jzc3H9+nVERERUa8yglZUVLly4wJaTkpLQsGFD1K9fn70tLy8PZmZm7Enux48f8c9//hMtW7bE27dvMX78eHaSztGjR9GuXTvk5+cjJCQEPj4+7Ljk/Pz8codUeXt7s7tgFUtNTcW4ceNq/HfQhLaj6YT+ItWWyTzqpLzvB3U/gdX0+QOAOO9RjBPmKpPg0l+uLi4uGDNmDKZPn17DqkgxLy8vvHnzRiN7gfX09FBYWMgpayIxJ+ItWLAAe/bsQb169bBlyxZ88cUXmDlzZpXPc3Jygr+/P6KiotCjRw/s3LkTAwcO5DymoKAA33zzDSIiImBlZYXNmzejX79+MDAwwLVr13D69Gns3bsXb9++RVhYGNasWQMDAwP8/vvv0NPTw5w5c/DHH3/g/Pnz+Pnnn8vEYGpqClNT01q9b3d3d7X5kiRFtCFZIDVHJ7CkNLF6nmucoaSnp+PNmzc1fRopwczMrNwVN9RVyeQkISGBs5xPUFCQyl8OqSmx1noeP348JBIJWy6ewBYbG4spU6bgn//8Z6XPNzIyQmhoKAICAuDn5wcXFxf4+voiJSUFgwYNwrlz59C0aVOsW7cOPj4+yMzMhJubG1atWgUA8PDwwL179+Dq6goTExPMnDkT3bp1AwBs3rwZy5cvR7du3dCoUSOsWrUKbdrQRWwiPE2fRa9u6OSVVIdYJ8w1HhOckpKC0aNHKzUIojlat27N9gabm5trXAIMiLfWc/GVg4sXL+Ljx48YMWIEdHV1cerUqWr3rnbp0qXMeP66desiNjaWLX/55Zf48ssvyzxXT08P69atw7p168rc16pVqyqTcFJzGRkZePXqFW7cuIEePXqIHY7Ko1n0hJCaqNGYYIlEAjMzM+rhqYHyxkNl/P/M45JjJms7HiosLAyJiYmVPqa88VeltWrVSmmbolhaWiIxMRGLFy9WyuupGrHWeh4wYACAov/54cOH2clwvXr1ohNTDfXqVdHY1pCQEEqCq4GWgSOE1ES1xgQnJyejRYsWuHr1Kv7zn/9gwoQJqFevnhDxaaT09HQAylmLOTExEc8fP0Azo7wKH1O3sOjyX27iu3Lvf5VTp9zba8vIyAg2Nja89aZUNREPKPqiU6eJFjWRnp6OvLw8dlWHrKwsvH//XuSoiKJKf64zSizTJZfLMWvWLDRo0EBjP9eEECK0KpPg5cuXAyia1b106VL07NkT/v7+2L59O+/BaYLyxkMpuyeimVGewrOh1ZmRkRFycnI4ZT6Jvdbz119/jVGjRqFfv35gGAbnz5/HqFGjBI2B8K+4F7hkmTYxIoQQ5akyCY6Li8OxY8ewZ88eDB8+HL6+vvDw8BAiNkLKVfrEQiqVYsqUKWx5x44dSp+oVrKXrqCggHPfq1evBO15njNnDjp06IDbt28DABYtWsRuhUyUR+h1iUt/rss7ztIlfFITBw4cQFhYGD5+/Iju3btjzZo1aNSoEecxMTExCAgIwKtXr+Di4oKgoCDUrVtXpIiVg9YUJ9VV5Qr7DMNAR0cHN27cgJOTEwBwdpgiRGxmZmZs72/nzp15X6lBX18furpFQ0zq168PfX19XusrT9++fbF06VIsXbqUEmCBNGzYkJZ2Imrjzp072LdvHw4dOoTff/8dDRo0wObNmzmPycnJwezZs/HDDz/g9u3bMDQ0RGhoqEgR84faLqlIlT3BlpaWmDp1Kl6+fAlHR0f4+vqiffv2QsRGSLW1aNECL1++xOzZs3l5/dK9dIsWLcLLly+xefNmOrhqKFraiaizrl274tdff4WxsTEyMzORlZUFS0tLzmNu376NZs2asSfSPj4+8PLywsKFC8UIWWmo7ZLqqjIJDgwMxMWLF9G1a1fo6+vDwcEBw4YNEyA0QqpPX18fVlZWgiWkQtdHCCE1ZWxsjDNnzsDPzw9NmjSBv78/5/6kpCTOBGZLS0ukpaUhIyODM/48MzMTmZmZnOempqbyGTohgqgyCTY2NsbQoUPZ8tixY3kNiBBCCKCjo8OuR11cJqSmBgwYgP79+yM4OBhz5szBkSNH2PuysrI4E4n19PSgr69fZsjjgQMHsGPHDsFiJjWXk5ODxMREJCYmasQ619UZ1w0oPrZbM/e0JYQQNVenTh3Oqid16ih3KUOiHQwMDAAAc+fORdeuXZGens5ewTIyMkJe3v+W1ywsLERBQUGZFXa8vb0xfPhwzm2pqakYN24cz9GT6nr58iXkcjlCQkKwdetW3usrKCjAy5cvOZ8nPvFVByXBpMaq2qCjOptzAMrdoIMQTVMyAS6vTEhlTp06hTt37rDbnhcWFkJHRwcmJibsY6ysrHDhwgW2nJSUhIYNG6J+/fqc1zI1Na32rpREeAkJCcjPzwcAJCcn89IbXLpn9vnz55DJZFiwYAGaNm0KgN/VcviidUlwRQvSK2P3NkA1d3BTtqo26Khqcw5A+Rt0EKJpWrRogeTkZE6Zbx8+fMCLFy/w4MEDdOrUiff6CH86duyIVatWwcPDAzY2Nti4cSMGDBjA9gwDgJOTE/z9/REVFYUePXpg586dGDhwoIhRawa+21HpPObp06ec+xctWoTPPvuMt2XgCgoKIJPJABTlUObm5ryvkiSVSrF582b4+voqtVe4wiR48ODBlT7xzJkzSgtCTMrcvQ0Qfge3jIwMpOXUUWjDi1c5ddCoxO5U1aHtG3QQwrc5c+ZgwYIFbHnevHlKr6P0l+mLFy8AACtXrsTnn38OgNZTVVetW7fG2rVr4efnh8zMTPTs2RMrV65ETEwMpk6ditjYWBgZGSE0NBQBAQHw8/ODi4sLfH19xQ5d7VTUjlatWgUbGxv2dr7aUnEvcEVlZSjZM/vjjz8iISEBhf/X3p3HRVXufwD/DJuAikqiXkER9EaaC5u4JYoLZv00UyctUaSblogrejVSMDO5mYq4ZFdzIfHWFV+GC2kkIHBN65JoeS8uSSwuFDosCgKznN8fXCaGdYB5zplz5vt+vXy9OMPMfJ/B8z3nO895zvOoVDA3N4erqysWLlxo8Ji1xcXFISsrC3FxcQaN1WgR3NylbLHQp2e2ruTk5HrL8rakZ5YKRMMSonedhnwQobm6ump7g3v16sX8ZpfHjx9rf+Y4Do8fP0bHjh2ZxiRsvfjii3jxxRd1HvP29kZmZqZ229PTUzKdWsagdh5pNBomeVR3qMCcOXPqrZrKcmGdtLQ0qFQqANXDbFJTU5kWwQqFAikpKeA4DsnJyZDL5QbrDW60CPbx8dH+XFxcjKdPn4LjOKjVau23HDGQ+qX7zp07w7r4dpuLbmsjXo6V7951fWKKfb8h4rBs2TKEh4cz6QUGdE+mdW9yKiwsxI4dO5jEJURKaufR3LlzdX736NEj5nlUdzYP1gua+fr6IikpCSqVChYWFswXbIqLi9POlKPRaAzaG9zsmODo6Gjs27cPAGBubg6lUol+/fqJ6psj9cwalhBDMIT4P6T9hgjN1dUVsbGxvMTi40Y8vqY9IkQoZWVlTW6zwHFck9uGJpfLkZKSAqB66ka5XM40Hsue52Ynnjx58iRSUlIwadIkJCYmIjIyEv369TNIcEIIIaaLlrMlUlN79o2GtqXA3t4efn5+kMlkGDduHPMc9vX1hYVFdZ+toXuem+0Jtre3R7du3eDq6oobN25g2rRp2L9/v8EaQMSH7yEYQt38R4gp6dq1Kx4+/GN4j4ODg8Fj1B3LmJ2djfDwcISGhkpign9CQkNDtdPSAcDq1auZx5TJZDq9vzKZjHlMuVyO/Px85r3ANbFY9Tw3WwRbWFggLy8Prq6uyMjIwAsvvKAzuTbRJUTBdq+ZeI+V1eNXO1qqG3193xa1sOmYzcVrbUxCCDu1b+gBUG+ZXBaio6NRXl7O2wT/hLDm7u6O9u3bo6ysDO3bt+dlqsExY8bgwoUL2u2xY8cyj2lvb49NmzYxj1MTy8/PD4mJiQbveW62CH777bexfv167N27F9HR0YiPj+flD0z0o0/vyYP/jbtz6OPS4O/76vk++sZsLl5LYwpx8x/1PhNT061bN515ibt168Y0XnZ2tjYeqwn+Af3GIdMYZGJIoaGh2LRpEy+9wAAQEBCgUwQHBATwEpdPrHqemy2CBwwYgJiYGABAfHw8cnNzaQ37JvBdsOkz/VbNwd5QU6Y0F9PQ8QBhersrNWaNzvCg5qovN5nLGr8BoVJjfHmSkZGBiIgI3Lt3DyNHjsSWLVvQoUMHnef88MMP+OCDD3Dv3j0MHz4cmzZtgr29PTiOw44dOxAXFwdzc3MEBQXhzTffBAA8efIEa9euxcWLF9GtWzds3LgRw4YNE+IjklYqLCxsctvQ6vb88tUbTGOQTQ+rhRYa4+7ujuPHjzOPU8Pe3h5jx47FhQsX4OfnJ8l9nFXPc6NFcM1KagsWLMCRI0e04026du2KgIAAnDt3zuCNYaG4uBj3y2yw9ifXBn+vbzHT08iHJ0iZEL3d7u7uTS6gUtOb5OLSeG83WhiTtadPn2Lp0qWIjIzEsGHDEBYWhj179mDNmjXa55SUlCAkJASrV6/GtGnTcOjQIaxZswb79+/HV199hdOnT+Mf//gHOnfujLfffhs9evTASy+9hG3btsHW1hbff/89UlNTsWrVKqSkpGhvZiDGb/jw4Tq9SSNGjGAar3avc0PbhsLX8qvEeLFaaMGYBAQE4Pfff5dkLzBLjZ6hQkNDcfHiRQDQ6dGxsLDApEmTmDVIn56qlujatat2VTigenqNmqk2AEDDVc89p5b90WtnYWGhc/K2+d/76EOIgk3qjKG3u+4l1YYY+yXVy5cvw9HRUXtnbUhICAICAnSK4MzMTHTv3l17yWnBggXYt28fioqKcOHCBcydO1e7bwYFBeHkyZN46aWXcPbsWRw9ehRWVlaYOHEiPvvsM1y8eJH5/JHEcOqOCX7y5AnTeEIsC01MD8uFFowJn2N0paTRIvjAgQMAgHfffReRkZG8NEafnqqWioiI0NmuW8zU9HjX7vVrSzHTmuKprTHr4nsMHN9zfzb0N+V7nJ8YD6K5ubk6X6569+6NR48eobi4WLv/q9VqWFtb67yO4zjcu3cPGo0G7dr9MTzEzMwMd+/eRUlJCYqKiuDs7Kzz3tnZ2VQEi8iVK1d0tjMyMpjG42NZaEJYLrRAxK/Za5WRkZG4du0a0tPToVQq8cILL2Do0KFMGqNPT1VbGcOlMb4LKKnH4yOmMew3bVVWVgYbGxvttoWFBSwtLXVWF/Lw8EBOTg7Onj2L8ePH4/PPP0dFRQWqqqrg6+uLmJgYjBkzBjY2Njhy5AiqqqpQXl4OS0tLnasn1tbWDS62UFpaWm/WgYKCAgaflrQU3xPu870sNDFNfC/xS8Sl2SI4Pj4eUVFR8Pf3B8dxWLlyJZYsWYLXXnvN4I3Rp6cKENeJVIjiie+YUo8nFTY2NjrTG6pUKiiVSp3C2N7eHtHR0YiMjMQHH3yA119/HX379kXHjh0xc+ZM5OXlYdasWejUqRPeeOMNnDhxAtbW1lCpVFCr1TA3/99y0hUVsLW1rdeGmJgY7N69m/2HJS3Ws2dP3L9/X2ebNdbLQhPC9xK/RFyaLYIPHz6MuLg47XQ5CxYswF/+8hcmRbA+PVUAnUgJaQ0XFxckJiZqt3Nzc9GlSxd06tRJ+1hlZSXs7e21y6I/efIEn3/+OZydnVFYWIi5c+dqL2EfO3YMzz77rPY98vPztV9ic3Nz8fLLL9drQ2BgIF599VWdxwoKCjBnzhxDf1zSQitXrtQZnlD7Z1b4XBaamCa+l/gl4tJsEazRaHTmi+zevTuzKdL06akCGj6R3rt3D/PmzTPaHmFCgD+uWKjVjS8kwsrw4cMRFhaGpKQkjBo1Cp988gkmT56s8xylUok33ngDsbGxcHFxwfbt2zFx4kRYWVkhNTUVp06dwv79+1FYWIgDBw5ob8R48cUXsXv3bmzatAn/+te/cPfu3QanSLOzs4OdnZ3OYzV/C8pdYVlZWaFLly747bff0L17d1hYWODu3btCN8toCJm7xkhMeevp6Yn09HSMGDECZWVlKCsrE7pJhEdN5W6zRXDnzp1x/vx5TJgwAQBw/vx5nZ4jQ9Knpwpo+ERa8yGpR4mIQWFhoc6NZHywsbHBnj17EBERgdWrV2PkyJEIDQ3F/fv38fLLLyMhIQE9e/bE5s2bERISgtLSUowZM0a7BOj06dNx9epV+Pr6on379li8eLH2/oDVq1dj3bp1eOGFF+Dg4ICdO3fW+/LamJr5aCl3jcft27cxfvx4oZthlITIXWMkxry9desWPvvsM6GbQQTSUO7KuGbufrh9+zaCg4NRVVUFmUwGCwsL7NmzB25ubgZv4NOnTzFu3Dhs2rQJo0aNwnvvvQc7O7t6Mzw0pKKiAtevX4eDg4N2XKI+ai7FHj16FD169GhL8402ptTjCRGztfHUajUKCwsxcODAerMwmCqx5C7t1+KP15aYlLu6Wpu3gPT3MzHt16YQr6ncbbYn2M7ODufOnUNOTg7UajVcXV2Rk5PTogboq7GeKn1YW1vD29u71bF79OgBJyenVr9eDDGlHk+ImK2JR71IusSWu7Rfiz9ea2NS7v6hrXkLSH8/E8t+bQrxGstdvVeMe+aZZ7SPh4SEMFsxztPTU3tTDiGEEEIIISwY3YpxhBBCCCGEsGZUK8YRQgghhBDCh2bnOpN6AWxnZ4eQkJB6s01IKabU4wkRU4jPSHSZwv+51D+jKfxNSX1S389MYb+WSrxmZ4cghBBCCCFEatisekEIIYQQQogRoyKYEEIIIYSYHJMugmNiYuDr6wtPT08sWrQIjx494iXu5cuXMWTIEF5iffTRRxg0aBA8PDzg4eGBmTNnMo2Xn5+PoKAgDB06FNOmTcP169eZxjt16pT2s3l4eMDd3R1ubm64cuUKs5iXLl3CSy+9BC8vL8ydO5fZvNmkcZS7hke5S/gg9dzlO28BfnNXiLwFGOYuZ6IyMjI4X19fLj8/n6uqquLWrl3LhYWFMY9bXl7O+fv7cwMHDmQei+M4LigoiLtw4QIvsVQqFefv788dOnSIU6vV3LFjxzh/f39eYteIioriFi1axOz9VSoV5+Pjw/3www+cWq3mtm3bxgUFBTGLR+qj3DU8yl3CB1PIXT7zluOEz13WectxbHO32RXjpMrLywtnz56Fra0tSktLUVZWht69ezOPu337dowePRr//Oc/mccCgJs3b+LZZ5/lJdaVK1dgZWWF+fPnAwBmzJiB/v37g+M4yGQy5vF/+eUXfPHFFzhz5gyzGCUlJSguLoZGowHHcTAzM0O7du2YxSP1Ue4aHuUu4YMp5C6feQsIm7t85C3ANndNejiEra0tTp8+DR8fH1y7dg0BAQFM42VmZuKnn35CYGAg0zg1FAoFioqKsGHDBgwfPhyBgYH49ddfmcW7ceMG+vTpg3fffRfDhg1DQEAAbGxseDmJAkBUVBSCgoLg4ODALIa9vT2mT5+OefPmYdCgQTh27BjCwsKYxSMNo9w1LMpdwhcp5y7feQsIm7t85C3ANndNuggGgEmTJuHatWvw9/fHsmXLmMWpqqpCREQENm7cyNuJRaFQwMfHByEhIUhLS4OPjw+Cg4OhVquZxHv8+DGSkpIwYsQIpKenY9y4cQgJCWEWr7a8vDx8//33mDNnDtM4arUanTt3xpEjR5CZmYnp06dj1apVTGOShlHuGg7lLuGTVHOX77wFhMtdvvIWYJy7BhlUIQFPnjzh3NzcOIVCweT9t27dykVFRXEcx3H5+fm8jSusTaPRcJ6enlx2djaT99+3bx83ZcqUevF+/fVXJvFq27NnD7d27VrmcRISEriQkBDttkql4tzd3Zn9TUnzKHfbjnKXCEHqucs6bzlOuNzlK285jm3ummxP8MmTJxEeHq7dVqlUMDMzQ/v27ZnE+/bbb3HkyBF4e3tj6tSpqKqqgre3N+7fv88kHgBcvXoVX375pXZbo9FArVbDysqKSbw+ffrgyZMn2m2O47RjeFhLS0vDxIkTmccpKCiAUqnUbpuZmUEmk8HCwmSH1/OOctfwKHcJH6Seu3znLSBc7vKVtwDb3DXZInjQoEFISEjA1atXUVlZiY8//hiTJk1itrOeO3cOP/74IzIyMnDq1ClYWVkhIyMDPXv2ZBIPAKytrbFlyxb89NNPUCqV2LFjB/r37w9HR0cm8UaOHIny8nIcOXIEarUaBw4cgJOTE1xcXJjEq6HRaJCVlYXBgwczjQMAw4cPx6VLl/Cvf/0LKpUKn376KZydneHk5MQ8NqlGuWt4lLuED1LPXb7zFhAmd/nMW4Bx7ra5L1nEzp49y02YMIHz8fHhQkNDuZKSEl7i8nlZ5quvvuLGjRvHubu7c2+++SZ3//59pvGysrK4WbNmcR4eHpxcLud++eUXpvE4juMePnzIubm5cRqNhnksjuO406dPc/7+/pyXlxcXFBTE5efn8xKX/IFy1/AodwkfpJ67fOctx/Gfu3znLcexy10Zx/FwvYsQQgghhBAjYrLDIQghhBBCiOmiIpgQQgghhJgcKoIJIYQQQojJoSKYEEIIIYSYHCqCCSGEEEKIyaEimLSZWq3GgwcPhG4GIaSFKHcJESfKXcOgIpjozc3NDVlZWQAADw8P3Lx5EwCwcuVKfPPNN0I2jRDSBMpdQsSJcpctWi+StEpmZqb2Z4VCIWBLCCEtQblLiDhR7hoeFcESdenSJWzevBn5+fkYPXo0NBoNhg4diqSkJIwfPx7z588HAJw4cQIxMTE4efIkOI7Dnj17kJCQgIKCAnTs2BFvvvmm9rm1ubm5IT4+HidOnEBGRgYyMzORl5eHnJwcDB48GMuXLwcAVFRUYMSIEfjyyy/h5ubG3x+AEJGi3CVEnCh3xYeGQ0jQo0ePsHjxYsyfPx///ve/MWLECCQlJTX7ujNnzuDkyZM4fPgwrly5goiICGzZsgW///57o69577334O3tjVWrViE8PBxTp07F2bNntb9PTk5G7969KREJ0QPlLiHiRLkrTlQES1BKSgocHR0xY8YMWFpa4o033tArGfz8/HD06FF0794dDx8+hKWlJdRqdYsuu/j7++P333/H9evXAVQn+NSpU1v9WQgxJZS7hIgT5a440XAICVIoFOjevbvOY87Ozs2+TqVSITIyEt999x26deuGwYMHAwA4jtM7tq2tLcaPH4+EhAT07t0bFy9eRERERMs+ACEminKXEHGi3BUnKoIlyMnJCfHx8TqP1VxaMTMzg1Kp1D5eXFys/Xn79u2orKxEamoqrK2tUVJSguPHj7c4/tSpU/H+++/Dzc0Nnp6e9Q4MhJCGUe4SIk6Uu+JEwyEkaMyYMXj8+DFiY2OhUqlw7tw57V2lffr0wfnz51FaWor79+/jxIkT2tc9fvwY7dq1g7m5OUpKSrB582YA0EnehlhZWeHJkyfa7VGjRqGyshKHDh3CK6+8wuATEiJNlLuEiBPlrjhRESxB7du3x2effYaEhASMGDECp06dwoABAwAAwcHB6NChA8aOHYt33nlHZ9zQsmXL8ODBA/j4+GDKlCno0qUL3NzccOvWrSbjTZkyBQcPHkRoaCgAwNzcHC+//DJyc3MxceJEdh+UEImh3CVEnCh3xUnGtWTgCRGtuXPn6kzRwtrhw4dx/fp1bN26lZd4hEgV5S4h4kS5a/yoJ5gYlEKhwM8//4wjR45ALpcL3RxCiJ4odwkRJ8rd1qMimBhURkYGAgIC4Ofnh2HDhgndHEKInih3CREnyt3Wo+EQhBBCCCHE5FBPMCGEEEIIMTlUBBNCCCGEEJNDRTAhhBBCCDE5VAQTQgghhBCTQ0UwIYQQQggxOVQEE0IIIYQQk0NFMCGEEEIIMTlUBBNCCCGEEJNDRTAhhBBCCDE5VAQTQgghhBCTQ0UwIYQQQggxOVQEE0IIIYQQk0NFMCGEEEIIMTlUBBNCtA4cOIDw8HDt9tKlSzF48GB4eHjAw8MDS5cubfB1GRkZePnll+Hu7o7g4GA8efKEryYTQgghrWIhdAPqSk5OxtatW/Hbb7/hueeew8aNG9G3b99mX1dRUYHr16/DwcEB5ubmPLSUkJZTq9UoLCzEwIEDYW1tLXRztJRKJfbu3Yu9e/dCLpdrH7958yZOnDiBfv36Nfrap0+fYunSpYiMjMSwYcMQFhaGPXv2YM2aNXrFptwlYmCsuSsUylsiFk3lrlEVwQUFBVi7di327t0Ld3d3HDp0CMuWLcOZM2eafe3169cxZ84cHlpJSNsdPXoU3t7eQjdDKzIyEnfv3sWsWbOg0WgAVBe3BQUF6NOnT5OvvXz5MhwdHTFmzBgAQEhICAICAvQugil3iZgYW+4KhfKWiE1DuWtURfCDBw8wY8YMeHl5AQBef/11fPzxxygvL4etrW2Tr3VwcABQ/SF79OjBvK1t8Y9//APp6enw9fXF66+/zjxeSUkJPvvsM7z11lvo1KkT83ikcQUFBZgzZ452fzUWixYtgoODA3bt2oXCwkIAwO3bt2FtbY358+fjzp078PT0xIYNG+q1PTc3V6dQ7t27Nx49eoTi4mJ07ty52dhiyl2+8X2sII0z1twVCuVt40zhnCumY1NTuWtURXDNuMMaaWlpcHR0bLYABqC9HNOjRw84OTkxa2NbKRQKXLlyBZaWlvjxxx/x1ltvoUuXLkxjJiQkIC8vDxcvXsTChQuZxgKA7OxshIeHY9OmTc32IpoqY7t82NDBoby8HO7u7li7di169OiByMhIrFmzBgcPHtR5XllZGWxsbLTbFhYWsLS0REVFRb33LC0tRWlpqc5jNUW3secu34Q4VpDmGVvuCkUs51whnDhxArm5uUhOTsaSJUuEbo7BifXY1FDuGu2NcTdu3MCGDRuwdu3aer8rLS3F3bt3df4VFBQI0MqWi4uL015u1mg0iIuLYxpPoVAgJSUFHMchOTkZRUVFTOMBQHR0NMrLyxEVFcU8FmFn+PDh+Pvf/w4XFxfY2Nhg5cqVuHTpUr3i1sbGBpWVldptlUoFpVKpUxjXiImJwfjx43X+0SXVhvF9rCCEtJ1CoUBqaioAIDU1lZdzLt+kdGwyyiI4IyMDgYGBWLFiBfz9/ev9Xswn0rS0NKhUKgDVxUJNsrDC986anZ2N/Px8AEB+fj5ycnKYxiPspKam4uuvv9ZuV1VVwdzcHBYWuheQXFxckJubq93Ozc1Fly5dGrwMGBgYiKSkJJ1/R48eZfchRIzvYwUhpO1iY2PBcRyA6nNubGyswC0yPCkdm4yuCE5LS8M777yDiIgIzJ49u8HniPlE6uvrqy0iLCwstDcTscL3zhodHa2zTb3B4qXRaLB582bk5ubi6dOn2Lp1KyZPnlyvCB4+fDhyc3ORlJSEiooKfPLJJ5g8eXKD72lnZwcnJyedfzSesGF8HysIIW2Xnp6us52WliZQS9iR0rHJqIrg/Px8LF++HFu2bMFLL73U6PPEfCKVy+UwM6v+s5uZmelMR8UC3ztrTS9wY9tEPPz8/BAYGIi5c+di5MiRqKys1M4hnJGRoR2/b2Njgz179mDHjh3a54WGhgrZdEng+1hBCGk7tVrd5LYUSOnYZFQ3xh0/fhzl5eX1TqDnz5/HM888I1CrDMve3h5+fn5ITEzEuHHjmA8ml8vlSElJAcDPztqrVy+dwrdXr15M4xHDqnsTx4IFC7BgwYJ6z/P29kZmZqZ229PTE6dPn2bePlPC97GCEEL0IaVjk1H1BK9YsQI3btxAZmamzj+pFMA15HI5+vfvz8u3p5qdVSaT8bKzLlu2TGd7xYoVTOMRImV8HisIIW3Xs2fPJrelQirHJqMqgk2Fvb09Nm3axNu3Jz53VldXV23vb69evWiKNELagO9jBSGkbVauXKmzvWrVKoFawlZxcTFycnJQUlIidFPahIpgE8D3iXTZsmWwtbWlXmBCCCEmxdXVVdv727NnT8l2BEllKlQqgonBubq6IjY2VrLJT4hUpaenY/r06bh48aLQTSFEtFauXAlbW1tee4EVCgXWrVvHy7zEUpoKlYpgQgghAIBdu3YBqD/VISFEf0J0BMXFxSErK4uXhSukNBUqFcGEEEKQnp6uM6c49QZL04EDB7RTHQLA0qVLMXjwYHh4eMDDwwNLly4VsHWkNRQKBZKTk8FxHJKSkpj3BktpKlSjmiKNEEKIMGp6gWtER0dj1KhRBo2RkpKC5ORk7XZxcTEAoHPnzjrPGzduHPz8/HiLach4xkqpVGLv3r3Yu3evzk3SN2/exIkTJ9CvXz8BW0faIi4uTucLbFxcHBYuXMgsnpSmQqWeYEIIIdqTaGPbLBQVFfEyhlHomMYgMjIS169fx6xZs7SPPX36FAUFBXT/hoHxOT4XqF7ivmapZo7jcOHCBabxpDQVKvUEE0IIgYWFhU7hW3d5bEPw8/PT6XFdv349AOCDDz4weCwhYxqjRYsWwcHBAbt27UJhYSEA4Pbt27C2tsb8+fNx584deHp6YsOGDXBwcBC4teJWe3wuyx7ZGl26dMGDBw+02/b29kzj1UyFmp+fL/qpUKknmBBCSL3VAuv29hBxa6iwLS8vh7u7Oz744AMkJyfjmWeewZo1a+o9r7S0FHfv3tX5V1BQwEezRUehUCAlJQUcxyE5OZmX3uDaBTAA3L9/n3lMqUyFSj3BJkChUGD79u0IDQ3lZa5gvuMRQtru+eef19keMGCAQC0hfBk+fDiGDx+u3V65ciVGjBiBiooKWFtbax+PiYnB7t27hWii6MTFxUGtVgMA1Go1b73BfKuZAUPsqCfYBMTGxuK///0vbzssn1O1EEIMIy4uDmZm1acEMzMzyl8TkJqaiq+//lq7XVVVBXNz83pDYQIDA5GUlKTz7+jRo3w3VxTS0tJ0iuDU1FSBW0SawqwIvnPnDuLi4sBxHJYvX44JEybg8uXLrMKRRigUCqSlpQGoPuCxvjQjxKUgQkjrpKSkYP369Vi/fj2+/fZbaDQaAIBGo0FiYiLWr1+PlJQUgVtJWNFoNNi8eTNyc3Px9OlTbN26FZMnT65XBNvZ2cHJyUnnX48ePQRqtXEbNmyYznbtnnZWunbtqrNNY7r1x2w4REREBF577TVcuHABv/32Gz788ENs374d//znP1mFJA2IjY3VObHFxsbWG/tnSHFxcTrxpHopiBCp6dSpk86X1k6dOgnYGsIHPz8/BAYGYu7cuXj8+DF8fX2xadMmoZslapWVlTrbVVVVzGPyMbOLVKcaZFYEV1ZWYurUqfjggw8wefJkDBs2DEqlklU40oj09HSd7bS0NKZFcFpams58hampqVQEE2Kkas+coFAosGDBAnAcBysrK2zdupXG9BuJ5557DjKZrNHfZ2Vl6f1edY//CxYswIIFC1rdNqLrhx9+0Nnm4wp4TUFag48rsDUx6s7xLTbMiuCqqio8fPgQFy5cwN///nc8fPiw3jckIj2+vr5ISkqCSqWChYUFxowZI3STCBGt9PR0REVFITQ01OALV9Rlb2+Pzp07o6ioCOPGjaMC2IhcunQJHMchOjoajo6OmDVrFszNzXHixAleZgIg+qsZD9zYtlhJdapBZmOCZ82aBT8/P3h5eaFfv36YOXMmAgMDWYUjjejevXuT24Yml8t1bq6pvTIRIaRldu7cCQDYsWMHL/EcHBxga2tLeWtkunTpAnt7e1y/fh0LFy5Ep06d0KFDB8ybN69ezyOpj+/FK4h4MOsJfuONNzB79mxtQfTVV19Rz4IAFApFk9uGZm9vDz8/PyQmJlJvEhE1ocfApaen69xlfvHiRea9wZaWlnBxcaG8NVJPnz5FdnY2XF1dAVQveUzDDJvH9+IVrNU9NjVk/fr1ohyjyzdmRXBZWRm2bduGO3fuIDo6GlFRUVizZg3at2/PKiRpwJgxY/DNN99ot8eOHcs8plwuR35+PvUmEUnhewxcTS9wjR07djAvgolxW758OWbNmgU3NzdoNBrcuXMHW7duFbpZRk2hUCA5ORkcxyEpKQlyuVxyX/LMzMy0N6TXbIudPp0QQNs7IpgVwZs2bUK3bt3w6NEjtGvXDk+ePEF4eDi2bdvGKiRpgFwuR3JyMpRKJSwtLXkpTO3t7ekOY555eHg0eOMMx3GQyWS4cuWKAK0SN6HHwEl1bCFLBw4cQE5OTpPP+fXXXwH88f/ZkD59+uAvf/mLIZtmEP7+/vDy8sKPP/4IAPD29ma+RK7YxcXF6dysLYXe4LrHpqtXr2Ljxo3a7fDwcAwePFiIpjHDqhOCWRGclZWFyMhIpKamwsbGBlu3bsX//d//sQpHGmFvb49x48YhMTER48ePl9w3YFLtzJkzQjeBEMHl5OTgTtZPcLRp/CbsDipzAEBFzsMGf3/vaTsmbWuLkydP4pVXXsGhQ4d0Hr937x4AICgoSIhmiUJqaio4jgNQ3Slw4cIF0RfBdbm7u2t7g9u3by+JApivTghmRXDd7ni1Wi2JLnoxouEJ0ufo6Kj9+euvv0Z6ejqUSiVeeOEFTJs2Te/3OXDgAHJzc7W9CnFxcfj0009RUlICLy8vbNy4scGbKz/66CPExsZqJ9nv27cvjh8/3rYPRUgrONpUYsmf77X69btuOzb/JJ7l5uYCAG7duiVwS8THwcEB+fn5OttS5OTkhLy8PKxevVropogKs6p06NCh+Pjjj1FRUYH09HQsWbIEPj4+rMKRJtQMT+CrFzg7OxsBAQHNXpY0JLr7t9qBAwfw97//HW5ubnj++edx6NAhfPLJJ82+TqlUYufOnTrjC3/++Wfs2LED+/btw6VLl9CrVy+Eh4c3+PqbN29i9+7dyMzMRGZmJhXABuDl5aWz7e3tLVBLiNCWLl0KAIiMjMT06dMRGRmJNWvWYPz48YiMjBS4dcatsLCwyW2p6NixI55//nlJ9ALziVlP8KpVq7Bv3z507NgRUVFRGD16NBYvXswqHGmCQqHA9u3bERoaykshHB0djfLyckRFRSE6Opp5PEB6d/+2Vnx8PL744gt06NABADBz5ky89tprCA4ObvJ1kZGRuHv3LmbNmqW9weK3335DUFAQ+vbtCwB47bXXMG/evAZff/PmTTz77LMG/CSkY8eOTW4T0xMVFYUrV67gyJEjqKiowL59+3Dr1q1m81tIDc1kwOdMK0LcHE7Eg1lPcGpqKhYvXoy4uDicOHECK1aswNdff80qHGlCbGws/vvf/yI2NpZ5rOzsbO2lp/z8fF56gxUKBVJSUsBxHJKTk02+N7imAAaqC6eaIQpNWbRoEfbt24dnnnlG+9iECRPw1ltvabfT0tLw5z//ud5rFQoFioqKsGHDBgwfPhyBgYHam4/qKi0txd27d3X+FRQUtOTjmYzvv/9eZ5uPlaeIcUtKSsLBgwcBAD169EBsbKwoz6tFRUW8HacnTpyos+3v72/wGCkpKVi/fn2jN1vW/C4lJcXgsUnbGLwnODk5GSqVClu2bAHHcdoB6SqVCrt27WrR+ETSdgqFAmlpaQCqv5gEBAQw7Q2u2/PLR29wXFyctvdSo9GYdG+wo6MjYmJi8MYbbwAAjh49ip49ezb7uubGyX333Xf45JNP6t2YA1TvYz4+PggJCYGbmxv279+P4OBgnDlzBubm5jrPjYmJwe7du1vwiUyXr68vzp8/D7VaDXNzc1p9kWhn+alhaWnZ5HLKxqDuDU4AvzOtfPvtt5DJZNqZchITE032/EDqM3gRnJWVhcuXL+PRo0f4/PPP/whkYYH58+cbOhxpRmxsrE6BGBsbW2/teEOqfQNCQ9sspKWl6UyBk5qaarIHuffffx+rVq3Cli1bAABDhgzBxx9/3Kb3TExMRFhYGLZu3YohQ4bU+32/fv1w+PBh7XZwcDAOHjyIvLw8uLi46Dw3MDAQr776qs5jBQUFmDNnTpvaKEVyuRyJiYkAqnOXbmwlnp6eCA0NxcyZMyGTyRAfH99gTpI/pKWl6cwOweL8ULvQX7Zsmc55r1evXqJfWljKDF4EL168GIsXL8bRo0fpxGYE0tPTdbbT0tKYFsHt27dHWVmZzjZrvr6+SEpKgkqlgoWFhUn3mHXv3h1HjhzB06dPtdPltMXx48fx8ccfY8+ePRg2bFiDz7l69Spu3LiB2bNnA6gu2NRqNaysrOo9187ODnZ2dm1qkympffImZP369YiOjkZkZCQsLCwwYsQIhISECN0so8b3+WHZsmVYtWqVdnvFihVM45G2YXZjnFwux7fffqstiNRqNfLy8miH4Fndkyfrk2lNj2xj2yzI5XLtWCszMzOT7jHLzs7GwYMH8ejRI53/608//bTF75WZmYkPP/wQn3/+OQYNGtTo86ytrbFlyxYMGDAA/fv3x86dO9G/f3+dadtIy9Udw8/6Ko4UFBcX49HTdm2a5uze03Z45n83bhkbW1tbvPvuu0I3Q1T4Pj+4urrCysoKVVVV6NWrF/r06cM0HmkbZkXwihUrkJ+fj8LCQgwYMADXrl2jKdIEYGVlhYqKCp1tlsaOHatzJy4f65bb29vDz88PiYmJGDdunEkvCLJq1Sp4eXlh4sSJbR4rePToUVRUVOjMCGFlZYXvv/8eGRkZWLBgATIzM/Hcc88hPDwcK1asgEKhgKenJ7Zv397Wj2Ly+L6Kw0JzK7jps3obYLwruPEtMzMT+/btQ3l5OTiOg0ajwd27d3HhwgWhm2a0hDg/ODk5IScnhzr9RIDpinGJiYnYsGEDgoKCoNFosGHDBlbhSCNqF8ANbRuaXC7XXnria5nmmri0IEj1jTPvvfdeq19fu8jaunWrzrzBtXl7eyMzM1O7PW3aNLrp1cCksGxycyu4Nbd6G9CyFdw6d+4M6+LbbV4sw9rAS7Mayrp16/DKK6/gm2++wezZs5GUlMRktgOp4fv8YGNjg/79+1MvsAgwK4K7desGCwsL9OnTB7du3cLkyZPx+PFjVuFII2ruiq29zZK9vT2GDh2KS5cuYejQobz1ytYsCGLqevbsifz8fPTq1UvophACQJoruAlFJpNh4cKFKCoqgqurK6ZMmYIZM2YI3SyjR+cH0hhmRbCtrS1Onz6N5557DseOHYOrqyvKy8tZhSONeOaZZ/Dw4R+9LF27dmUeMzs7GwBw584d5rFItXfeeQdA9WpIM2fOxKBBg3TmB27NmGBCiHGpudG1d+/euH37Nry8vGBmxmy6f9Gqu0AHn4tzEHFhVgSHh4fj2LFjWL16NY4fP46AgAAaH/M/fK7gVrsABtgvGZmdnY3ffvsNQPWKYzk5ObxcEsrOzkZ4eDg2bdpkkpegJk2aJHQTiIGZm5vrDIGoO+cyMT2DBw/G8uXLsWzZMrz99tvIycnRazEcU1ezMEdnIx3mQoTDLHv69OmDv/71rwCAHTt2sAojSlJe4nfbtm0621u3buVlcQS+l2rmeynq5tSee/fevXv44YcfoFKp4OPjA2dnZwFbRlpLCmOCiWGFhYXh2rVrcHFxQVhYGL777rt6x1xSf4EOPhfnIOLCrAj+8ccfsXv37npTNZ0+fZpVSFFQKBRITk4Gx3FISkqCXC43iiLKUB48eKCzff/+feYxG1qqmXVvsLF+kUlPT8fq1avh5eUFtVqNLVu2IDIyEhMmTBC6aYSQNpLJZHB3dwdQPRPP2LFjBW0PIYYi1EwyzIrg9evX47XXXkP//v2NfllHPsXFxemsbmZsRZQY8b1Us0KhQEpKCjiOQ3JyslF9kYmOjkZsbCz69esHALh9+zZWr15NRTARhNTn7SVEqvguSvmeSaYGsyLYysqKlkluQGpqqs4qUBcuXJBUEdy1a1edccgODg7MY/K9VHNcXJzOUtTG9EVGqVRqC2AA+POf/0yX0QkhvGmueAL0K6BobmhhCVGUCjGTDLMi2NXVFT///HOTK02ZIgcHB50ijY8ikU983IhX987fmtV5am+vX7+e2d2/aWlpOr35LNaiby1ra2udvPv5559hY2MjcKuIqRJi3t57zfQ8P1ZWn7w7Wjb85fDe03bo26IWktqaK56A5guo1vToEcMzhekNDV4ET5kyBQBQVlaG119/Hb169dK5e1XfMcEHDhxAbm4uNm7caOgmCqpuUch6tgZT4OTkpJ2WrWabJb7Xom+J1atX45133oGzszNkMhmys7N5uVGQtF3dL3cNacuXO0P10AHG20unz70AD/73GR36uDT4+756vg+fas6rjWnJvTZ1z62JiYn429/+hqKiIrz44ovYuHEjLC0t29ReUyieiDQYvAhu7uDZHKVSib1792Lv3r2SXP1rzJgxSExMBMdxkMlkdGNDK9S98xcAZs+erV2rvbFVzgyF77XoW8Lb2xsJCQm4du0aNBoNhgwZAnt7e6GbRVrBzs4OpaWl2u1OnTq16f0M0UMHGHcvnT6FuRhnCmjreRVo+NxaUFCAdevW4eDBg3B2dkZwcDCOHTuGOXPmtDkeIWJg8CLYx8dH+/Pt27dx8eJFmJmZwdfXV69v15GRkbh79y5mzZqlHXcpJXK5HMnJyVAqlbCwsDCqAkrM+FyrXYi16PV1+fJlbN68GadOncLt27cxZcoU7N69Gx4eHkI3jTSjoS9306dP1/586NChNsdoaw8dQL10Qqh9Xi0uLsbTp0/BcRzUajXy8vL0eo+Gzq3nz5/HyJEjMXDgQADAwoULsXPnTiqCjQyNs2aH2ZjgL774Ajt37sTo0aOh0Wjw6aefYt26dXjppZeafN2iRYvg4OCAXbt2NTpUoLS0VKeHBKj+RisG9vb2GDduHBITEzF+/HijKqBaq7nLuDVJyXKFHr7Xaud7LXp91UyJBlTfFLdv3z68//77OHbsmMAtazvWq0AJNUVPU2p6gydOnGiQ9yPiFh0djX379gGoXjyl5kZYfYZDNHRurTudpLOzc4MrfYr5nCsFNM6aHWZF8OHDhxEfH4/u3bsDqJ4vduHChc0WwfrcKBYTE8PLAgys8FlAyWQynXmaWU9X16lTJ5SUlOhsS5GxrkWvVCrx/PPPa7eff/55nZsGpcTQq0AJNUVPU3r16gWguoAh5OTJk0hJScHf/vY3/PWvf8Xly5eRmpqq12sbOreWl5frPN6uXTtUVFTUe57Yz7mGJsQXZhpnzQazIrhDhw7aAhgAevbsCSsrK4O8d2BgoM4KWUD1t1KxXMLhs4CqXQA3tG0ItS/jKhQKvPXWWwCqC+7t27dLordbLGxsbJCWlgZfX18AwKVLl2BraytwqwyDj1Wg6ERDjJm9vT26desGV1dX3LhxA9OmTcP+/ftb/X42NjaorPzjS19lZWWDs8mI/ZxraMb4hZm0DrMieNSoUYiIiMCcOXNgbm6OkydPok+fPvjPf/4DADq9VS1lZ2cHOzs7QzWVGJC9vb22N3js2LFUAPPsvffew+LFi7UzspiZmWHXrl0Ct4qYsqamLGtuurKa19OUZdUsLCyQl5cHV1dXZGRk4IUXXtApYlvKxcUFmZmZ2u3GVtukc2599IVZGpgVwWfOnAFQvYxrbUuWLIFMJkNSUhKr0C2iUCiwfft2hIaG8lawCRGTT927d4dSqURAQIDQTTEY1uNRDWXIkCG4cOECbt26BXNzc7i4uBjsCgwhLdXcGP3mpisDjHPKMqG8/fbbWL9+Pfbu3Yvo6GjEx8e3aYah8ePHY9euXbh69Sr69u2L/fv3Y/LkyYZrMBEtU1ntkVkR3Nx8l8YiLi4OWVlZvK76JURMPllaWsLFxUWSBX4NQ49HbavGZg747rvvAABBQUF8NqfN6G5oaWjuby/G6cqENGDAAMTExAAA4uPjkZubCzMzs1a/35/+9Cd8+OGHWL16NYqKijB58mTRrfRKxwrSFgYvgpsb67pu3Tq93mfJkiWGaE6TFAoFUlJSwHEckpOTIZfLmRduQsQkbcfHeNS2uHXrVqO/YzEOnDW6G9rwDNGzA4ijd0dqaq48LViwAEeOHNHmdNeuXREQEIBz587p/V51z60TJkzAhAkTDNZWvtGxgg2+V3sUqufZ4EWwsfSM6SMuLk47X6JGo+GlZ1aImET6aqZFu3LlCvbt24enT59Co9FAo9Hg3r22zQsrFBpzR0i10NBQXLx4EQAwbNgw7eMWFhaYNGmSUM0yGnSsIK1l8CI4JCTE0G/JTFpaGlQqFQBApVIhNTWVeUHKR0x95u01hvGr+qLLXfpbv349XnnlFXzzzTeYPXs2kpKS4O/vL3SziBEwRM8O0LLeHWIYBw4cAAC8++672i+8xspUxpISw+K757kGszHBja113pI1zlnz9fVFUlISVCoVLCwsMGbMGMnFbN++PcrKynS2xUaIy13GuHCCPmQyGRYuXIiioiK4urpiypQpmDFjht6vP3DgAHJzc7Fx40YAQGJiIv72t7+hqKgIL774IjZu3AhLS8t6r8vIyEBERATu3buHkSNHYsuWLejQoYPBPhchpPqKz7Vr15Ceng6lUokXXngBQ4cOFbpZhDH6YsEOsyK4dnGgVCqRkJCgnfjdWMjlcqSkpAConkqKj8Ur+IjZ2Ly9ALBz505RjkHm+3KXWOeBrPmS07t3b9y+fRteXl563TijVCqxd+9e7N27V7tPFhQUYN26dTh48CCcnZ0RHByMY8eO1Zsb9OnTp1i6dCkiIyMxbNgwhIWFYc+ePVizZo3hP6CE0BUO0lLx8fGIioqCv78/OI7DypUrsWTJErz22mtCN01LqB49PlFRKh3MiuDaa50DwMiRIzF79myjWvnI3t4efn5+SExMxLhx43gpDvmOaW9vr+0NHjJkiCgLYKGIcZzZ4MGDsXz5cixbtgxvv/02cnJytHMGNyUyMhJ3797FrFmztGPWz58/j5EjR2LgwIEAgIULF2Lnzp31iuDLly/D0dFRe1UjJCQEAQEBVAQ3g27oIS11+PBhxMXFoVu3bgCqb5T7y1/+YlRFMDE8U/hiIRRmRXBdRUVF+P333/kKpzc+lzAWKqajoyPu3r2LpUuXGuT9xDpUwBSEhYXh2rVrcHFxQVhYGL777jts27at2dctWrQIDg4O2LVrFwoLCwHUnzjf2dkZd+7cqffa3Nxcnef17t0bjx49QnFxcb0bZUtLS1FaWqrzWEFBgf4fkCEhenfE+EWLCEej0WgLYKB6Tva2TJEmBULkLRWl0sHbmOD79+9j1qxZrMK1GusljBu6Sa1mupvt27drH2N5o5qh5+3le6iAEAc5sV7ukslkcHd3BwCMHTtW74n0HRwc6j1WXl6u83i7du1QUVFR73llZWU6S61aWFjA0tKywefGxMRg9+7dzbZHrH9/Qljq3Lkzzp8/r53S7Pz58+jUqZPAraqvqVUCgeZXCqRVAo2DKaz2yKwIfu+995Cfnw9nZ2f88MMPkMlkmDdvHqtwomJsCy20BvVgSZ+NjY3OkqyVlZU6xW5jz1OpVFAqlQ0+NzAwEK+++qrOYwUFBfWGWAiBeneIsVu/fj2Cg4PxwQcfQCaTwcLCAnv27BG6WTr0Wd2vuZUCW7JKoFB5K/UCUYjVHoX4mzIrghMSEiCTyeDh4YEvv/wSo0ePRlhYGHbt2sUqpFGqu8gCYHwLLRg7IQ5ynTt3xqMHeY3+Xp+ErHkfsXJxcUFmZqZ2u+7wiNrPS0xM1G7n5uaiS5cuDfZQ2dnZwc7OrtnYVJCy0dYeupr3MOaTd111r8Y1NFxLLFNG2tnZ4dy5c8jJyYFarYarq2uzN1fyTZ8hbmI/B5rCcuB8r/Yo1N+UWRH8n//8B8ePH8e+ffvw6quvIjQ0FNOnT2cVzmTRHeZsmMJBrjnjx4/Hrl27cPXqVfTt2xf79+/H5MmT6z1v+PDhCAsLQ1JSEkaNGoVPPvmkwee1lNQvqfI95MMQPXSA+PdrMd4cXHfFuGeeeUb7eEhISItWjJMivo8VQiwHLvXjoVBLrDMrgjmOg5mZGS5evIh33nkHABocI0jaRog7zIUYr2kKBzlj86c//QkffvghVq9ejaKiIkyePBnz588HUD0v8IIFC5CZmQkbGxvs2bMHERERWL16NUaOHInQ0NA2xeb7kmoNKV/iNIUeuoY0dDVObMS8YlxD98UYsjdeqGMFn0zhMwqFWRHcu3dvLFiwAHfv3oWPjw9CQ0Px3HPPsQrXqLo9pcXFxdoxuY3p0qVLvcvYxtxTKvXxucZwAJDSJdWmLFmyRGd7woQJ2ptwavP29tYZKuHp6WnQhXCEKNj47v2nIR9EX2JaMU4fhuyNN4Uvd6bwGYXCrAiOjIzEt99+Cy8vL1haWsLb2xvTpk1jFa5RdXtKlUpzaFRNf2xlYREqiv/o7WlJT6kpDE/g++RtjAcAMV5SJU2j3n9i7MRYAEuhJ55IF7Mi2NbWFq+88op2+/XXX2cVqll89pTyPTxBqKmkpHzZuCF0ICcsSH2cHyGEGDPeFsswFcV6FJPNzSig7/sIhW4aI6TtjGGYDyGEmDLJF8FSn3S/uam8AP16ZlsylRddNiak7YxxmA9r+oytB6Qxvp4QYvwkXwQDQKXGrNEhBmpOBgAwl3FNvl5ffI+Xpd4kQohY0dh6QoiQJF8Eu7u7N9nLWdMT4eLS+KV7wHCrngCGHednir1JhBBxorH1hBBjIvki2NhWPQGoZ5aQ1uB7mjpTmRaPEEJMleSLYL5Rzywh/OD7UjpduieEEGmhIpgQIgp8X0qnS/eEECJt+t/xRQghhBBCiESYXE8wjfMzPL6nPWK9Fj0RB4VCge3btyM0NJSGKhBCBENT/xkeX39TkyuC65LiyVPoQl+Iv6kU/x9J0+Li4pCVlYW4uDgsXLhQ6OYQIlofffQRYmNjYWFRXRL07dsXx48fF7hV4kXnI8Nj9Tc1uSLYFMf5sU5IGqtJ+KZQKJCSkgKO45CcnAy5XC76Ew9d4SBCuXnzJnbv3o0xY8YI3RRR4vucZArHCr7+piZXBPNNiJ2VikQidXFxcdBoNAAAjUYj2d5g1oW90FeNiHG4efMmnn32WaGbYTCmuF/TsaJ1qAgWgNh7rAgRWlpaGlQqFQBApVIhNTVV9EWwMXx5pWOT6VEoFCgqKsKGDRtw7do1uLm5YcOGDc0uICUmUtuv6VhhOFQEM2YMOyshUuPr64ukpCSoVCpYWFjQZdxWouMTUSgU8PHxQUhICNzc3LB//34EBwfjzJkzMDevXt20tLQUpaWlOq8rKCgQorl6of3a8KT6N6UimBAiOnK5HCkpKQAAMzMzyOVygVtEiDj169cPhw8f1m4HBwfj4MGDyMvL0/YGx8TEYPfu3QK1kBB2JFMEq9VqAMb97ZSQmv2zZn8lrc9dT09PpKenY8SIESgrK0NZWRmL5hECQLq5e/XqVdy4cQOzZ88GUD3GXq1Ww8rKSvucwMBAvPrqqzqvu3fvHubNm0fnXGL0mspdyRTBhYWFAIA5c+YI3BJCmldYWAhnZ2ehm2EU2pq7t27dwmeffWbIJhHSKKnlrrW1NbZs2YIBAwagf//+2LlzJ/r37w9HR0ftc+zs7GBnZ6fzuprCgs65RCwayl0Zx3GcQO0xqIqKCly/fh0ODg7acUz6KCgowJw5c3D06FH06NGDYQuFiyn1eELEbG08tVqNwsJCDBw4ENbW1gxbKB5iyV3ar8Ufry0xpZy78fHx2LVrFxQKBTw9PbFp0yb86U9/avI1rc1bQPr7mZj2a1OI11TuSqYn2NraGt7e3q1+fY8ePeDk5GTAFhlfTKnHEyJma+JJqRfJEMSWu7Rfiz9ea2NKNXenTZuGadOmteg1bc1bQPr7mVj2a1OI11jumrW1QYQQQgghhIgNFcGEEEIIIcTkUBFMCCGEEEJMjskXwXZ2dggJCal356uUYko9nhAxhfiMRJcp/J9L/TOawt+U1Cf1/cwU9mupxJPM7BCEEEIIIYToy+R7ggkhhBBCiOmhIpgQQgghhJgcky6CY2Ji4OvrC09PTyxatAiPHj3iJe7ly5cxZMgQXmJ99NFHGDRoEDw8PODh4YGZM2cyjZefn4+goCAMHToU06ZNw/Xr15nGO3XqlPazeXh4wN3dHW5ubrhy5QqzmJcuXcJLL70ELy8vzJ07Fzk5OcxikYZR7hoe5S7hg9Rzl++8BfjNXSHyFmCYu5yJysjI4Hx9fbn8/HyuqqqKW7t2LRcWFsY8bnl5Oefv788NHDiQeSyO47igoCDuwoULvMRSqVScv78/d+jQIU6tVnPHjh3j/P39eYldIyoqilu0aBGz91epVJyPjw/3ww8/cGq1mtu2bRsXFBTELB6pj3LX8Ch3CR9MIXf5zFuOEz53Wectx7HNXcmsGNdSXl5eOHv2LGxtbVFaWoqysjL07t2bedzt27dj9OjR+Oc//8k8FgDcvHkTzz77LC+xrly5AisrK8yfPx8AMGPGDPTv3x8cx0EmkzGP/8svv+CLL77AmTNnmMUoKSlBcXExNBoNOI6DmZkZ2rVrxyweqY9y1/AodwkfTCF3+cxbQNjc5SNvAba5a9LDIWxtbXH69Gn4+Pjg2rVrCAgIYBovMzMTP/30EwIDA5nGqaFQKFBUVIQNGzZg+PDhCAwMxK+//sos3o0bN9CnTx+8++67GDZsGAICAmBjY8PLSRQAoqKiEBQUBAcHB2Yx7O3tMX36dMybNw+DBg3CsWPHEBYWxiweaRjlrmFR7hK+SDl3+c5bQNjc5SNvAba5a9JFMABMmjQJ165dg7+/P5YtW8YsTlVVFSIiIrBx40beTiwKhQI+Pj4ICQlBWloafHx8EBwcDLVazSTe48ePkZSUhBEjRiA9PR3jxo1DSEgIs3i15eXl4fvvv8ecOXOYxlGr1ejcuTOOHDmCzMxMTJ8+HatWrWIakzSMctdwKHcJn6Sau3znLSBc7vKVtwDj3DXIoAoJePLkCefm5sYpFAom779161YuKiqK4ziOy8/P521cYW0ajYbz9PTksrOzmbz/vn37uClTptSL9+uvvzKJV9uePXu4tWvXMo+TkJDAhYSEaLdVKhXn7u7O7G9Kmke523aUu0QIUs9d1nnLccLlLl95y3Fsc9dke4JPnjyJ8PBw7bZKpYKZmRnat2/PJN63336LI0eOwNvbG1OnTkVVVRW8vb1x//59JvEA4OrVq/jyyy+12xqNBmq1GlZWVkzi9enTB0+ePNFucxynHcPDWlpaGiZOnMg8TkFBAZRKpXbbzMwMMpkMFhYmO7yed5S7hke5S/gg9dzlO28B4XKXr7wF2OauyRbBgwYNQkJCAq5evYrKykp8/PHHmDRpErOd9dy5c/jxxx+RkZGBU6dOwcrKChkZGejZsyeTeABgbW2NLVu24KeffoJSqcSOHTvQv39/ODo6Mok3cuRIlJeX48iRI1Cr1Thw4ACcnJzg4uLCJF4NjUaDrKwsDB48mGkcABg+fDguXbqEf/3rX1CpVPj000/h7OwMJycn5rFJNcpdw6PcJXyQeu7ynbeAMLnLZ94CjHO3zX3JInb27FluwoQJnI+PDxcaGsqVlJTwEpfPyzJfffUVN27cOM7d3Z178803ufv37zONl5WVxc2aNYvz8PDg5HI598svvzCNx3Ec9/DhQ87NzY3TaDTMY3Ecx50+fZrz9/fnvLy8uKCgIC4/P5+XuOQPlLuGR7lL+CD13OU7bzmO/9zlO285jl3uyjiOh+tdhBBCCCGEGBGTHQ5BCCGEEEJMFxXBhBBCCCHE5FARTAghhBBCTA4VwYQQQgghxORQEUwIIYQQQkwOFcGkzdRqNR48eCB0MwghLUS5S4g4Ue4aBhXBRG9ubm7IysoCAHh4eODmzZsAgJUrV+Kbb74RsmmEkCZQ7hIiTpS7bNF6kaRVMjMztT8rFAoBW0IIaQnKXULEiXLX8KgIlqhLly5h8+bNyM/Px+jRo6HRaDB06FAkJSVh/PjxmD9/PgDgxIkTiImJwcmTJ8FxHPbs2YOEhAQUFBSgY8eOePPNN7XPrc3NzQ3x8fE4ceIEMjIykJmZiby8POTk5GDw4MFYvnw5AKCiogIjRozAl19+CTc3N/7+AISIFOUuIeJEuSs+NBxCgh49eoTFixdj/vz5+Pe//40RI0YgKSmp2dedOXMGJ0+exOHDh3HlyhVERERgy5Yt+P333xt9zXvvvQdvb2+sWrUK4eHhmDp1Ks6ePav9fXJyMnr37k2JSIgeKHcJESfKXXGiIliCUlJS4OjoiBkzZsDS0hJvvPGGXsng5+eHo0ePonv37nj48CEsLS2hVqtbdNnF398fv//+O65fvw6gOsGnTp3a6s9CiCmh3CVEnCh3xYmGQ0iQQqFA9+7ddR5zdnZu9nUqlQqRkZH47rvv0K1bNwwePBgAwHGc3rFtbW0xfvx4JCQkoHfv3rh48SIiIiJa9gEIMVGUu4SIE+WuOFERLEFOTk6Ij4/Xeazm0oqZmRmUSqX28eLiYu3P27dvR2VlJVJTU2FtbY2SkhIcP368xfGnTp2K999/H25ubvD09Kx3YCCENIxylxBxotwVJxoOIUFjxozB48ePERsbC5VKhXPnzmnvKu3Tpw/Onz+P0tJS3L9/HydOnNC+7vHjx2jXrh3Mzc1RUlKCzZs3A4BO8jbEysoKT5480W6PGjUKlZWVOHToEF555RUGn5AQaaLcJUScKHfFiYpgCWrfvj0+++wzJCQkYMSIETh16hQGDBgAAAgODkaHDh0wduxYvPPOOzrjhpYtW4YHDx7Ax8cHU6ZMQZcuXeDm5oZbt241GW/KlCk4ePAgQkNDAQDm5uZ4+eWXkZubi4kTJ7L7oIRIDOUuIeJEuStOMq4lA0+IaM2dO1dnihbWDh8+jOvXr2Pr1q28xCNEqih3CREnyl3jRz3BxKAUCgV+/vlnHDlyBHK5XOjmEEL0RLlLiDhR7rYeFcHEoDIyMhAQEAA/Pz8MGzZM6OYQQvREuUuIOFHuth4NhyCEEEIIISaHeoIJIYQQQojJoSKYEEIIIYSYHCqCCSGEEEKIyaEimBBCCCGEmBwqggkhhBBCiMmhIpgQQgghhJic/weWJsTOuq8zqQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x576 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style('ticks')\n",
    "sns.set_context(\"notebook\", font_scale= 1.1)\n",
    "\n",
    "columns = df.columns.tolist()[:12] \n",
    "plt.figure(figsize = (10, 8))\n",
    "\n",
    "for i in range(12):\n",
    "    plt.subplot(4,3,i+1)\n",
    "    sns.boxplot(x ='quality', y = columns[i], data = df, color = color[1], width = 0.6)    \n",
    "    plt.ylabel(colnm[i],fontsize = 12)\n",
    "plt.tight_layout()\n",
    "print(\"\\nFigure 7: Physicochemical Properties and Wine Quality by Boxplot\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：\n",
    "1. 品质好的酒有更高的柠檬酸，硫酸盐，和酒精度数（至于相关性有多大，见下面分析）\n",
    "2. 品质好的酒有较低的挥发性酸类，密度，和pH"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**根据各变量的相关系数矩阵绘制热力图，探究各变量两两的相关性**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Figure 8: Pairwise Correlation Plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style(\"dark\")\n",
    "\n",
    "plt.figure(figsize = (10,8))\n",
    "colnms = df.columns.tolist()[:13]\n",
    "mcorr = df[colnm].corr()\n",
    "mask = np.zeros_like(mcorr, dtype=np.bool)\n",
    "mask[np.triu_indices_from(mask)] = True\n",
    "cmap = sns.diverging_palette(220, 10, as_cmap=True)\n",
    "g = sns.heatmap(mcorr, mask=mask, cmap=cmap, square=True, annot=True, fmt='0.2f')\n",
    "print(\"\\nFigure 8: Pairwise Correlation Plot\")    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：\n",
    "1. 酒精度数与红酒质量关系最大（corr=0.48）\n",
    "2. 残留糖分（corr=0.01）、二氧化硫（corr=-0.05）似乎对酒的品质影响不大"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 密度和酒精浓度的关系\n",
    "从前面的热力图可以得知，密度和酒精浓度是相关的（corr=-0.5）。下面绘制散点图，然后进行线性拟合。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 9: Density vs Alcohol\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# style\n",
    "sns.set_style('ticks')\n",
    "sns.set_context(\"notebook\", font_scale= 1.4)\n",
    "\n",
    "# plot figure\n",
    "plt.figure(figsize = (6,4))\n",
    "sns.regplot(x='density', y = 'alcohol', data = df, scatter_kws = {'s':10}, color = color[1])\n",
    "plt.xlim(0.989, 1.005)\n",
    "plt.ylim(7,16)\n",
    "print('Figure 9: Density vs Alcohol')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：酒精浓度和密度是负相关的，但并不是线性关系。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 酸性物质含量和pH的关系\n",
    "这里想要探究和酸相关变量（挥发性、非挥发性、硫酸盐等）与pH的关系，分别绘制散点图，然后进行线性拟合。\n",
    "\n",
    "注：总酸性（total acid）这个属性主要受非挥发性的影响，在研究与pH的关系时没有参考意义。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 10: pH vs acid\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acidity_related = ['fixed acidity', 'volatile acidity', 'total sulfur dioxide', \n",
    "                   'sulphates', 'total acid']\n",
    "\n",
    "plt.figure(figsize = (10,6))\n",
    "\n",
    "for i in range(5):\n",
    "    plt.subplot(2,3,i+1)\n",
    "    sns.regplot(x='pH', y = acidity_related[i], data = df, scatter_kws = {'s':10}, color = color[1])\n",
    "plt.tight_layout()\n",
    "print(\"Figure 10: pH vs acid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**疑问**：这里遇到一个目前我没想明白的疑问，就是为什么挥发性酸和pH是正相关？直觉上来说，挥发性酸变多，酒中的氢离子浓度也变多，pH应该变小才对。\n",
    "\n",
    "猜测：有[资料显示](https://www.atago.net/zh_tw/databook-acidity_wine.php)，pH越小，释放的酸味越大，如果将这里的酸味理解成是挥发性酸的气味，那么就是说pH越小，挥发的酸也就越多，酒中的挥发性酸就越少。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 多变量分析\n",
    "从热力图可知，与品质相关性最高的三个特征是酒精浓度，挥发性酸度，和柠檬酸。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 酒精浓度，挥发性酸与红酒品质的关系"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们**绘制酒精浓度、挥发性酸关于红酒品质的散点图**，探究它们的关系"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\seaborn\\regression.py:573: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 11-1: Scatter Plots of Alcohol, Volatile Acid and Quality\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 424.065x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('ggplot')\n",
    "\n",
    "sns.lmplot(x = 'alcohol', y = 'volatile acidity', hue = 'quality', \n",
    "           data = df, fit_reg = False, scatter_kws={'s':10}, size = 5)\n",
    "print(\"Figure 11-1: Scatter Plots of Alcohol, Volatile Acid and Quality\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 11-2: Scatter Plots of Alcohol, Volatile Acid and Quality\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 583.2x432 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x = 'alcohol', y = 'volatile acidity', col='quality', hue = 'quality', \n",
    "           data = df,fit_reg = False, size = 3,  aspect = 0.9, col_wrap=3,\n",
    "           scatter_kws={'s':20})\n",
    "print(\"Figure 11-2: Scatter Plots of Alcohol, Volatile Acid and Quality\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：从图 11-2 可以明显看出，在红酒质量较高（7、8）或较低时（3、4）时，酒精浓度越大（小）、挥发性酸越少（多）、质量越好（差）。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 总结\n",
    "1. 红酒的品质主要与酒精浓度，挥发性酸，和柠檬酸有关\n",
    "2. 我们根据`1`中提到的三个特征，对于品质优于7，或者劣于4的酒，。但是品质为5，6的酒很难线性区分。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
